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102988656 = 24324715217
BaseRepresentation
bin1100010001101…
…11101101110000
321011210100212200
412020313231300
5202331114111
614115223200
72360250321
oct610675560
9234710780
10102988656
11531529a1
122a5a7b00
131844bc44
14d96c448
159095256
hex6237b70

102988656 has 60 divisors (see below), whose sum is σ = 294376992. Its totient is φ = 33596928.

The previous prime is 102988643. The next prime is 102988681. The reversal of 102988656 is 656889201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841 + ... + 14376.

Almost surely, 2102988656 is an apocalyptic number.

102988656 is a gapful number since it is divisible by the number (16) 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 102988656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147188496).

102988656 is an abundant number, since it is smaller than the sum of its proper divisors (191388336).

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

102988656 is a wasteful number, since it uses less digits than its factorization.

102988656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278 (or 15269 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 102988656 is about 10148.3326709366. The cubic root of 102988656 is about 468.7376052189.

The spelling of 102988656 in words is "one hundred two million, nine hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 15217 30434 45651 60868 91302 121736 136953 182604 243472 273906 365208 547812 715199 730416 1095624 1430398 2145597 2191248 2860796 4291194 5721592 6436791 8582388 11443184 12873582 17164776 25747164 34329552 51494328 102988656