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102890142 = 2334373607
BaseRepresentation
bin1100010000111…
…11101010011110
321011121100202000
412020133222132
5202314441032
614113143130
72356360155
oct610375236
9234540660
10102890142
1153095983
122a55aaa6
1318416154
14d94459c
159075e7c
hex621fa9e

102890142 has 64 divisors (see below), whose sum is σ = 237557760. Its totient is φ = 32985792.

The previous prime is 102890113. The next prime is 102890213. The reversal of 102890142 is 241098201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169203 + ... + 169809.

It is an arithmetic number, because the mean of its divisors is an integer number (3711840).

Almost surely, 2102890142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102890142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118778880).

102890142 is an abundant number, since it is smaller than the sum of its proper divisors (134667618).

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

102890142 is a wasteful number, since it uses less digits than its factorization.

102890142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102890142 is about 10143.4778059598. The cubic root of 102890142 is about 468.5881002485.

The spelling of 102890142 in words is "one hundred two million, eight hundred ninety thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 73 86 129 146 219 258 387 438 607 657 774 1161 1214 1314 1821 1971 2322 3139 3642 3942 5463 6278 9417 10926 16389 18834 26101 28251 32778 44311 52202 56502 78303 84753 88622 132933 156606 169506 234909 265866 398799 469818 704727 797598 1196397 1409454 1905373 2392794 3810746 5716119 11432238 17148357 34296714 51445071 102890142