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1242040032 = 253219613
BaseRepresentation
bin100101000001000…
…0000011011100000
310012120010011121200
41022002000123200
510020430240112
6323125121200
742531110652
oct11202003340
93176104550
101242040032
11588110072
122a7b59200
1316a42373c
14bad546d2
1574091cdc
hex4a0806e0

1242040032 has 144 divisors (see below), whose sum is σ = 3779914320. Its totient is φ = 385793280.

The previous prime is 1242040021. The next prime is 1242040049. The reversal of 1242040032 is 2300402421.

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

It is a super-2 number, since 2×12420400322 = 3085326882181122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242039987 and 1242040014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20361282 + ... + 20361342.

It is an arithmetic number, because the mean of its divisors is an integer number (26249405).

Almost surely, 21242040032 is an apocalyptic number.

1242040032 is a gapful number since it is divisible by the number (12) 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 1242040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889957160).

1242040032 is an abundant number, since it is smaller than the sum of its proper divisors (2537874288).

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

1242040032 is an frugal number, since it uses more digits than its factorization.

1242040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1242040032 is about 35242.5883271930. The cubic root of 1242040032 is about 1074.9259100191.

Adding to 1242040032 its reverse (2300402421), we get a palindrome (3542442453).

The spelling of 1242040032 in words is "one billion, two hundred forty-two million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 61 72 76 96 114 122 144 152 171 183 228 244 288 304 342 366 456 488 549 608 684 732 912 976 1098 1159 1368 1464 1824 1952 2196 2318 2736 2928 3477 3721 4392 4636 5472 5856 6954 7442 8784 9272 10431 11163 13908 14884 17568 18544 20862 22326 27816 29768 33489 37088 41724 44652 55632 59536 66978 70699 83448 89304 111264 119072 133956 141398 166896 178608 212097 226981 267912 282796 333792 357216 424194 453962 535824 565592 636291 680943 848388 907924 1071648 1131184 1272582 1361886 1696776 1815848 2042829 2262368 2545164 2723772 3393552 3631696 4085658 4312639 5090328 5447544 6787104 7263392 8171316 8625278 10180656 10895088 12937917 16342632 17250556 20361312 21790176 25875834 32685264 34501112 38813751 51751668 65370528 69002224 77627502 103503336 138004448 155255004 207006672 310510008 414013344 621020016 1242040032