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102630948 = 223710112097
BaseRepresentation
bin1100001111000…
…00011000100100
321011010012012020
412013200120210
5202233142243
614103423140
72354230410
oct607403044
9234105166
10102630948
1152a29172
122a454ab0
1318355194
14d8b7d40
159024283
hex61e0624

102630948 has 48 divisors (see below), whose sum is σ = 276415104. Its totient is φ = 29030400.

The previous prime is 102630943. The next prime is 102631043. The reversal of 102630948 is 849036201.

It is a super-2 number, since 2×1026309482 = 21066222974757408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102630943) 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, 2436 + ... + 14532.

It is an arithmetic number, because the mean of its divisors is an integer number (5758648).

Almost surely, 2102630948 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 102630948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138207552).

102630948 is an abundant number, since it is smaller than the sum of its proper divisors (173784156).

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

102630948 is a wasteful number, since it uses less digits than its factorization.

102630948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 102630948 is about 10130.6933622531. The cubic root of 102630948 is about 468.1942907219.

The spelling of 102630948 in words is "one hundred two million, six hundred thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 1212 1414 2121 2828 4242 8484 12097 24194 36291 48388 72582 84679 145164 169358 254037 338716 508074 1016148 1221797 2443594 3665391 4887188 7330782 8552579 14661564 17105158 25657737 34210316 51315474 102630948