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1113040824 = 2337191572221
BaseRepresentation
bin100001001010111…
…1010011110111000
32212120101022222020
41002111322132320
54234414301244
6302240154440
736403455660
oct10225723670
92776338866
101113040824
11521312055
12270908a20
1314979864c
14a7b751a0
1567aaed19
hex4257a7b8

1113040824 has 128 divisors (see below), whose sum is σ = 3370329600. Its totient is φ = 299220480.

The previous prime is 1113040811. The next prime is 1113040829. The reversal of 1113040824 is 4280403111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1113040794 and 1113040803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113040829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500034 + ... + 502254.

It is an arithmetic number, because the mean of its divisors is an integer number (26330700).

Almost surely, 21113040824 is an apocalyptic number.

1113040824 is a gapful number since it is divisible by the number (14) 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 1113040824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685164800).

1113040824 is an abundant number, since it is smaller than the sum of its proper divisors (2257288776).

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

1113040824 is a wasteful number, since it uses less digits than its factorization.

1113040824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1113040824 is about 33362.2664697709. The cubic root of 1113040824 is about 1036.3434285268.

Adding to 1113040824 its reverse (4280403111), we get a palindrome (5393443935).

The spelling of 1113040824 in words is "one billion, one hundred thirteen million, forty thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 157 168 228 266 314 399 456 471 532 628 798 942 1064 1099 1256 1596 1884 2198 2221 2983 3192 3297 3768 4396 4442 5966 6594 6663 8792 8884 8949 11932 13188 13326 15547 17768 17898 20881 23864 26376 26652 31094 35796 41762 42199 46641 53304 62188 62643 71592 83524 84398 93282 124376 125286 126597 167048 168796 186564 250572 253194 295393 337592 348697 373128 501144 506388 590786 697394 886179 1012776 1046091 1181572 1394788 1772358 2092182 2363144 2440879 2789576 3544716 4184364 4881758 6625243 7089432 7322637 8368728 9763516 13250486 14645274 19527032 19875729 26500972 29290548 39751458 46376701 53001944 58581096 79502916 92753402 139130103 159005832 185506804 278260206 371013608 556520412 1113040824