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90310896 = 24331321237
BaseRepresentation
bin1010110001000…
…00100011110000
320021221021021000
411120200203300
5141104422041
612543402000
72144426034
oct530404360
9207837230
1090310896
1146a83a05
12262b3300
1315930600
14bdcc1c4
157dddbb6
hex56208f0

90310896 has 120 divisors (see below), whose sum is σ = 280926960. Its totient is φ = 27765504.

The previous prime is 90310861. The next prime is 90310921. The reversal of 90310896 is 69801309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90310896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72390 + ... + 73626.

It is an arithmetic number, because the mean of its divisors is an integer number (2341058).

Almost surely, 290310896 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 90310896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140463480).

90310896 is an abundant number, since it is smaller than the sum of its proper divisors (190616064).

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

90310896 is a wasteful number, since it uses less digits than its factorization.

90310896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90310896 is about 9503.2045121633. The cubic root of 90310896 is about 448.6559004335.

The spelling of 90310896 in words is "ninety million, three hundred ten thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1237 1352 1404 1521 1872 2028 2474 2704 2808 3042 3711 4056 4563 4948 5616 6084 7422 8112 9126 9896 11133 12168 14844 16081 18252 19792 22266 24336 29688 32162 33399 36504 44532 48243 59376 64324 66798 73008 89064 96486 128648 133596 144729 178128 192972 209053 257296 267192 289458 385944 418106 434187 534384 578916 627159 771888 836212 868374 1157832 1254318 1672424 1736748 1881477 2315664 2508636 3344848 3473496 3762954 5017272 5644431 6946992 7525908 10034544 11288862 15051816 22577724 30103632 45155448 90310896