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90941136 = 243111313249
BaseRepresentation
bin1010110101110…
…10011011010000
320100010021210020
411122322123100
5141240104021
613005103440
72152662336
oct532723320
9210107706
1090941136
1147374470
1226557b80
1315ac1430
14c113b56
157eb57c6
hex56ba6d0

90941136 has 80 divisors (see below), whose sum is σ = 276024000. Its totient is φ = 25436160.

The previous prime is 90941113. The next prime is 90941141. The reversal of 90941136 is 63114909.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 90941097 and 90941106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240 + ... + 13488.

It is an arithmetic number, because the mean of its divisors is an integer number (3450300).

Almost surely, 290941136 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 90941136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138012000).

90941136 is an abundant number, since it is smaller than the sum of its proper divisors (185082864).

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

90941136 is a wasteful number, since it uses less digits than its factorization.

90941136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13284 (or 13278 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 90941136 is about 9536.3062031376. The cubic root of 90941136 is about 449.6971394233.

The spelling of 90941136 in words is "ninety million, nine hundred forty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 13249 26498 39747 52996 79494 105992 145739 158988 172237 211984 291478 317976 344474 437217 516711 582956 635952 688948 874434 1033422 1165912 1377896 1748868 1894607 2066844 2331824 2755792 3497736 3789214 4133688 5683821 6995472 7578428 8267376 11367642 15156856 22735284 30313712 45470568 90941136