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90877240 = 235171071249
BaseRepresentation
bin1010110101010…
…10110100111000
320100000001010201
411122222310320
5141231032430
613003451544
72152305136
oct532526470
9210001121
1090877240
1147330463
1226526bb4
1315a9b31c
14c0d8756
157ea18ca
hex56aad38

90877240 has 64 divisors (see below), whose sum is σ = 218700000. Its totient is φ = 33865728.

The previous prime is 90877211. The next prime is 90877249. The reversal of 90877240 is 4277809.

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 90877240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90877249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72136 + ... + 73384.

Almost surely, 290877240 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 90877240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109350000).

90877240 is an abundant number, since it is smaller than the sum of its proper divisors (127822760).

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

90877240 is a wasteful number, since it uses less digits than its factorization.

90877240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 90877240 is about 9532.9554703670. The cubic root of 90877240 is about 449.5917944282.

The spelling of 90877240 in words is "ninety million, eight hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1249 1819 2140 2498 3638 4280 4996 6245 7276 9095 9992 12490 14552 18190 21233 24980 36380 42466 49960 72760 84932 106165 133643 169864 212330 267286 424660 534572 668215 849320 1069144 1336430 2271931 2672860 4543862 5345720 9087724 11359655 18175448 22719310 45438620 90877240