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240490536 = 233111379887
BaseRepresentation
bin11100101010110…
…01100000101000
3121202112011222220
432111121200220
5443031144121
635510314040
75650064406
oct1625314050
9552464886
10240490536
11113829110
1268658920
133aa931c0
1423d22476
15161a66c6
hexe559828

240490536 has 128 divisors (see below), whose sum is σ = 716083200. Its totient is φ = 66343680.

The previous prime is 240490531. The next prime is 240490541. The reversal of 240490536 is 635094042.

It is an interprime number because it is at equal distance from previous prime (240490531) and next prime (240490541).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 240490497 and 240490506.

It is not an unprimeable number, because it can be changed into a prime (240490531) 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, 270685 + ... + 271571.

It is an arithmetic number, because the mean of its divisors is an integer number (5594400).

Almost surely, 2240490536 is an apocalyptic number.

240490536 is a gapful number since it is divisible by the number (26) 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 240490536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358041600).

240490536 is an abundant number, since it is smaller than the sum of its proper divisors (475592664).

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

240490536 is a wasteful number, since it uses less digits than its factorization.

240490536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 240490536 is about 15507.7572846624. The cubic root of 240490536 is about 621.8696045625.

The spelling of 240490536 in words is "two hundred forty million, four hundred ninety thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 79 88 104 132 143 156 158 237 264 286 312 316 429 474 572 632 858 869 887 948 1027 1144 1716 1738 1774 1896 2054 2607 2661 3081 3432 3476 3548 4108 5214 5322 6162 6952 7096 8216 9757 10428 10644 11297 11531 12324 19514 20856 21288 22594 23062 24648 29271 33891 34593 39028 45188 46124 58542 67782 69186 70073 78056 90376 92248 117084 126841 135564 138372 140146 210219 234168 253682 271128 276744 280292 380523 420438 507364 560584 761046 770803 840876 910949 1014728 1522092 1541606 1681752 1821898 2312409 2732847 3044184 3083212 3643796 4624818 5465694 6166424 7287592 9249636 10020439 10931388 18499272 20040878 21862776 30061317 40081756 60122634 80163512 120245268 240490536