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90911104 = 2717411019
BaseRepresentation
bin1010110101100…
…11000110000000
320100001202120221
411122303012000
5141233123404
613004312424
72152505644
oct532630600
9210052527
1090911104
1147353949
1226542714
1315ab086b
14c106c24
157eab954
hex56b3180

90911104 has 64 divisors (see below), whose sum is σ = 196635600. Its totient is φ = 41697280.

The previous prime is 90911101. The next prime is 90911129. The reversal of 90911104 is 40111909.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90911101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88707 + ... + 89725.

Almost surely, 290911104 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 90911104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98317800).

90911104 is an abundant number, since it is smaller than the sum of its proper divisors (105724496).

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

90911104 is a wasteful number, since it uses less digits than its factorization.

90911104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 25.

The square root of 90911104 is about 9534.7314592494. The cubic root of 90911104 is about 449.6476319727.

The spelling of 90911104 in words is "ninety million, nine hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 128 136 164 272 328 544 656 697 1019 1088 1312 1394 2038 2176 2624 2788 4076 5248 5576 8152 11152 16304 17323 22304 32608 34646 41779 44608 65216 69292 83558 89216 130432 138584 167116 277168 334232 554336 668464 710243 1108672 1336928 1420486 2217344 2673856 2840972 5347712 5681944 11363888 22727776 45455552 90911104