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90087312 = 24371971361
BaseRepresentation
bin1010101111010…
…01111110010000
320021111220120010
411113221332100
5141030243222
612534514520
72142505140
oct527517620
9207456503
1090087312
1146940a27
1226205a40
1315882903
14bd70920
157d9780c
hex55e9f90

90087312 has 80 divisors (see below), whose sum is σ = 267518592. Its totient is φ = 25589760.

The previous prime is 90087307. The next prime is 90087359. The reversal of 90087312 is 21378009.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90087312.

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, 65512 + ... + 66872.

Almost surely, 290087312 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 90087312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133759296).

90087312 is an abundant number, since it is smaller than the sum of its proper divisors (177431280).

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

90087312 is a wasteful number, since it uses less digits than its factorization.

90087312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90087312 is about 9491.4336114204. The cubic root of 90087312 is about 448.2853464883.

The spelling of 90087312 in words is "ninety million, eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 197 336 394 591 788 1182 1361 1379 1576 2364 2722 2758 3152 4083 4137 4728 5444 5516 8166 8274 9456 9527 10888 11032 16332 16548 19054 21776 22064 28581 32664 33096 38108 57162 65328 66192 76216 114324 152432 228648 268117 457296 536234 804351 1072468 1608702 1876819 2144936 3217404 3753638 4289872 5630457 6434808 7507276 11260914 12869616 15014552 22521828 30029104 45043656 90087312