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87240704 = 21219259
BaseRepresentation
bin1010011001100…
…11000000000000
320002011021202012
411030303000000
5134313200304
612353512052
72106351035
oct514630000
9202137665
1087240704
1145277261
1225272628
13150c7025
14b82d38c
1579d416e
hex5333000

87240704 has 78 divisors (see below), whose sum is σ = 187246260. Its totient is φ = 40624128.

The previous prime is 87240667. The next prime is 87240707. The reversal of 87240704 is 40704278.

It is a super-2 number, since 2×872407042 = 15221880868831232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87240707) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1478627 + ... + 1478685.

Almost surely, 287240704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623130).

87240704 is an abundant number, since it is smaller than the sum of its proper divisors (100005556).

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

87240704 is an equidigital number, since it uses as much as digits as its factorization.

87240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 87240704 is about 9340.2732294082. The cubic root of 87240704 is about 443.5130337265.

87240704 divided by its sum of digits (32) gives a palindrome (2726272).

The spelling of 87240704 in words is "eighty-seven million, two hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 361 472 512 608 722 944 1024 1121 1216 1444 1888 2048 2242 2432 2888 3776 4096 4484 4864 5776 7552 8968 9728 11552 15104 17936 19456 21299 23104 30208 35872 38912 42598 46208 60416 71744 77824 85196 92416 120832 143488 170392 184832 241664 286976 340784 369664 573952 681568 739328 1147904 1363136 1478656 2295808 2726272 4591616 5452544 10905088 21810176 43620352 87240704