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102955216 = 24713312281
BaseRepresentation
bin1100010001011…
…11100011010000
321011201200000011
412020233203100
5202324031331
614114404304
72360050660
oct610574320
9234650004
10102955216
115312a861
122a590694
1318439960
14d9601a0
15908a3b1
hex622f8d0

102955216 has 80 divisors (see below), whose sum is σ = 253539328. Its totient is φ = 39398400.

The previous prime is 102955211. The next prime is 102955253. The reversal of 102955216 is 612559201.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102955211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43996 + ... + 46276.

Almost surely, 2102955216 is an apocalyptic number.

102955216 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 102955216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126769664).

102955216 is an abundant number, since it is smaller than the sum of its proper divisors (150584112).

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

102955216 is a wasteful number, since it uses less digits than its factorization.

102955216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 102955216 is about 10146.6849758924. The cubic root of 102955216 is about 468.6868673256.

The spelling of 102955216 in words is "one hundred two million, nine hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 496 728 806 868 1456 1612 1736 2281 2821 3224 3472 4562 5642 6448 9124 11284 15967 18248 22568 29653 31934 36496 45136 59306 63868 70711 118612 127736 141422 207571 237224 255472 282844 415142 474448 494977 565688 830284 919243 989954 1131376 1660568 1838486 1979908 3321136 3676972 3959816 6434701 7353944 7919632 12869402 14707888 25738804 51477608 102955216