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90243104 = 257267859
BaseRepresentation
bin1010110000100…
…00000000100000
320021210211021012
411120100000200
5141100234404
612542120052
72144024300
oct530200040
9207724235
1090243104
1146a37a86
1226280028
13159087b3
14bdb1600
157dc8a6e
hex5610020

90243104 has 72 divisors (see below), whose sum is σ = 210001680. Its totient is φ = 38054016.

The previous prime is 90243079. The next prime is 90243113. The reversal of 90243104 is 40134209.

It is a self number, because there is not a number n which added to its sum of digits gives 90243104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104627 + ... + 105485.

It is an arithmetic number, because the mean of its divisors is an integer number (2916690).

Almost surely, 290243104 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 90243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105000840).

90243104 is an abundant number, since it is smaller than the sum of its proper divisors (119758576).

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

90243104 is a wasteful number, since it uses less digits than its factorization.

90243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 90243104 is about 9499.6370456981. The cubic root of 90243104 is about 448.5436109396.

The spelling of 90243104 in words is "ninety million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 392 469 536 784 859 938 1072 1568 1718 1876 2144 3283 3436 3752 6013 6566 6872 7504 12026 13132 13744 15008 24052 26264 27488 42091 48104 52528 57553 84182 96208 105056 115106 168364 192416 230212 336728 402871 460424 673456 805742 920848 1346912 1611484 1841696 2820097 3222968 5640194 6445936 11280388 12891872 22560776 45121552 90243104