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90934360 = 235111712157
BaseRepresentation
bin1010110101110…
…00110001011000
320100002221111021
411122320301120
5141234344420
613005012224
72152633516
oct532706130
9210087437
1090934360
114736a370
1226554074
1315abb31a
14c1114b6
157eb37aa
hex56b8c58

90934360 has 64 divisors (see below), whose sum is σ = 236351520. Its totient is φ = 31119360.

The previous prime is 90934301. The next prime is 90934367. The reversal of 90934360 is 6343909.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90934367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402 + ... + 13558.

Almost surely, 290934360 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 90934360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118175760).

90934360 is an abundant number, since it is smaller than the sum of its proper divisors (145417160).

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

90934360 is a wasteful number, since it uses less digits than its factorization.

90934360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 90934360 is about 9535.9509226925. The cubic root of 90934360 is about 449.6859702076.

The spelling of 90934360 in words is "ninety million, nine hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 12157 24314 48628 60785 97256 121570 133727 206669 243140 267454 413338 486280 534908 668635 826676 1033345 1069816 1337270 1653352 2066690 2273359 2674540 4133380 4546718 5349080 8266760 9093436 11366795 18186872 22733590 45467180 90934360