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102936984 = 2331921092
BaseRepresentation
bin1100010001010…
…11000110011000
321011200201222220
412020223012120
5202322440414
614114144040
72356643553
oct610530630
9234621886
10102936984
1153118097
122a582020
1318431577
14d95769a
159084ca9
hex622b198

102936984 has 72 divisors (see below), whose sum is σ = 274114260. Its totient is φ = 32208192.

The previous prime is 102936973. The next prime is 102937013. The reversal of 102936984 is 489639201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 944322 + ... + 944430.

Almost surely, 2102936984 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 102936984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137057130).

102936984 is an abundant number, since it is smaller than the sum of its proper divisors (171177276).

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

102936984 is a wasteful number, since it uses less digits than its factorization.

102936984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 102936984 is about 10145.7865146079. The cubic root of 102936984 is about 468.6591996213.

The spelling of 102936984 in words is "one hundred two million, nine hundred thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 109 114 152 218 228 327 361 436 456 654 722 872 1083 1308 1444 2071 2166 2616 2888 4142 4332 6213 8284 8664 11881 12426 16568 23762 24852 35643 39349 47524 49704 71286 78698 95048 118047 142572 157396 225739 236094 285144 314792 451478 472188 677217 902956 944376 1354434 1805912 2708868 4289041 5417736 8578082 12867123 17156164 25734246 34312328 51468492 102936984