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90948132 = 2232111631409
BaseRepresentation
bin1010110101111…
…00001000100100
320100010122101100
411122330020210
5141240320012
613005200100
72153021622
oct532741044
9210118340
1090948132
1147379750
1226560030
1315ac4682
14c116512
157eb78dc
hex56bc224

90948132 has 72 divisors (see below), whose sum is σ = 252514080. Its totient is φ = 27371520.

The previous prime is 90948119. The next prime is 90948161. The reversal of 90948132 is 23184909.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63844 + ... + 65252.

It is an arithmetic number, because the mean of its divisors is an integer number (3507140).

Almost surely, 290948132 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 90948132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126257040).

90948132 is an abundant number, since it is smaller than the sum of its proper divisors (161565948).

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

90948132 is a wasteful number, since it uses less digits than its factorization.

90948132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 90948132 is about 9536.6730047748. The cubic root of 90948132 is about 449.7086706938.

The spelling of 90948132 in words is "ninety million, nine hundred forty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 163 198 326 396 489 652 978 1409 1467 1793 1956 2818 2934 3586 4227 5379 5636 5868 7172 8454 10758 12681 15499 16137 16908 21516 25362 30998 32274 46497 50724 61996 64548 92994 139491 185988 229667 278982 459334 557964 689001 918668 1378002 2067003 2526337 2756004 4134006 5052674 7579011 8268012 10105348 15158022 22737033 30316044 45474066 90948132