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102150076 = 22717673203
BaseRepresentation
bin1100001011010…
…10111110111100
321010012202120011
412011222332330
5202122300301
614045233004
72350155430
oct605527674
9233182504
10102150076
115272a956
122a262764
1318217342
14d7d09c0
158e7ba51
hex616afbc

102150076 has 48 divisors (see below), whose sum is σ = 219614976. Its totient is φ = 40575744.

The previous prime is 102150073. The next prime is 102150101. The reversal of 102150076 is 670051201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102150073) 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, 30291 + ... + 33493.

It is an arithmetic number, because the mean of its divisors is an integer number (4575312).

Almost surely, 2102150076 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 102150076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109807488).

102150076 is an abundant number, since it is smaller than the sum of its proper divisors (117464900).

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

102150076 is a wasteful number, since it uses less digits than its factorization.

102150076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 102150076 is about 10106.9320765502. The cubic root of 102150076 is about 467.4619123078.

The spelling of 102150076 in words is "one hundred two million, one hundred fifty thousand, seventy-six".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2278 3203 4556 6406 7973 12812 15946 22421 31892 44842 54451 89684 108902 214601 217804 381157 429202 762314 858404 1502207 1524628 3004414 3648217 6008828 7296434 14592868 25537519 51075038 102150076