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1112613408 = 2535236221
BaseRepresentation
bin100001001010001…
…0010001000100000
32212112120121200000
41002110102020200
54234312112113
6302223100000
736400025604
oct10224221040
92775517600
101112613408
1152104aa15
12270741600
13149678c3a
14a7aa3504
1567a28373
hex42512220

1112613408 has 144 divisors (see below), whose sum is σ = 3424389696. Its totient is φ = 354689280.

The previous prime is 1112613401. The next prime is 1112613413. The reversal of 1112613408 is 8043162111.

It is a happy number.

1112613408 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 613 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11126134082 = 2475817191322748928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1112613401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175738 + ... + 181958.

It is an arithmetic number, because the mean of its divisors is an integer number (23780484).

Almost surely, 21112613408 is an apocalyptic number.

1112613408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112613408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712194848).

1112613408 is an abundant number, since it is smaller than the sum of its proper divisors (2311776288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112613408 is an equidigital number, since it uses as much as digits as its factorization.

1112613408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1112613408 is about 33355.8601747879. The cubic root of 1112613408 is about 1036.2107570008.

Adding to 1112613408 its reverse (8043162111), we get a palindrome (9155775519).

The spelling of 1112613408 in words is "one billion, one hundred twelve million, six hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6221 6624 7452 7776 9936 11178 12442 14904 18663 19872 22356 24884 29808 37326 44712 49768 55989 59616 74652 89424 99536 111978 143083 149304 167967 178848 199072 223956 286166 298608 335934 429249 447912 503901 572332 597216 671868 858498 895824 1007802 1144664 1287747 1343736 1511703 1716996 1791648 2015604 2289328 2575494 2687472 3023406 3433992 3863241 4031208 4578656 5150988 5374944 6046812 6867984 7726482 8062416 10301976 11589723 12093624 13735968 15452964 16124832 20603952 23179446 24187248 30905928 34769169 41207904 46358892 48374496 61811856 69538338 92717784 123623712 139076676 185435568 278153352 370871136 556306704 1112613408