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90761364 = 22331814643
BaseRepresentation
bin1010110100011…
…10100010010100
320022210011012000
411122032202110
5141213330424
613001155300
72151313251
oct532164224
9208704160
1090761364
11472613a1
122648bb30
1315a5a665
14c0a8428
157e7c3c9
hex568e894

90761364 has 48 divisors (see below), whose sum is σ = 236658240. Its totient is φ = 30080160.

The previous prime is 90761299. The next prime is 90761369. The reversal of 90761364 is 46316709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90761369) 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, 17227 + ... + 21869.

It is an arithmetic number, because the mean of its divisors is an integer number (4930380).

Almost surely, 290761364 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 90761364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120).

90761364 is an abundant number, since it is smaller than the sum of its proper divisors (145896876).

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

90761364 is a wasteful number, since it uses less digits than its factorization.

90761364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 90761364 is about 9526.8758782720. The cubic root of 90761364 is about 449.4006242404.

It can be divided in two parts, 90761 and 364, that added together give a cube (91125 = 453).

The spelling of 90761364 in words is "ninety million, seven hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4643 4887 6516 9286 9774 13929 18572 19548 27858 41787 55716 83574 125361 167148 250722 501444 840383 1680766 2521149 3361532 5042298 7563447 10084596 15126894 22690341 30253788 45380682 90761364