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102987258 = 231117194831
BaseRepresentation
bin1100010001101…
…11010111111010
321011210021221220
412020313113322
5202331043013
614115212510
72360243253
oct610672772
9234707856
10102987258
1153151940
122a5a7136
131844b40a
14d96bb2a
159094b23
hex62375fa

102987258 has 64 divisors (see below), whose sum is σ = 250490880. Its totient is φ = 27820800.

The previous prime is 102987257. The next prime is 102987281. The reversal of 102987258 is 852789201.

It is not an unprimeable number, because it can be changed into a prime (102987257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18903 + ... + 23733.

It is an arithmetic number, because the mean of its divisors is an integer number (3913920).

Almost surely, 2102987258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102987258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125245440).

102987258 is an abundant number, since it is smaller than the sum of its proper divisors (147503622).

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

102987258 is a wasteful number, since it uses less digits than its factorization.

102987258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 102987258 is about 10148.2637923933. The cubic root of 102987258 is about 468.7354842794.

The spelling of 102987258 in words is "one hundred two million, nine hundred eighty-seven thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 3553 4831 7106 9662 10659 14493 21318 28986 53141 82127 91789 106282 159423 164254 183578 246381 275367 318846 492762 550734 903397 1009679 1560413 1806794 2019358 2710191 3029037 3120826 4681239 5420382 6058074 9362478 17164543 34329086 51493629 102987258