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90191232 = 27348699
BaseRepresentation
bin1010110000000…
…11010110000000
320021201012010000
411120003112000
5141042104412
612541040000
72143420125
oct530032600
9207635100
1090191232
1146a0200a
1226256000
13158bacc1
14bd9a74c
157db84dc
hex5603580

90191232 has 80 divisors (see below), whose sum is σ = 268438500. Its totient is φ = 30060288.

The previous prime is 90191201. The next prime is 90191249. The reversal of 90191232 is 23219109.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90191196 and 90191205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6019 + ... + 14717.

Almost surely, 290191232 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 90191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134219250).

90191232 is an abundant number, since it is smaller than the sum of its proper divisors (178247268).

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

90191232 is an equidigital number, since it uses as much as digits as its factorization.

90191232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8725 (or 8704 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 90191232 is about 9496.9064436794. The cubic root of 90191232 is about 448.4576530750.

The spelling of 90191232 in words is "ninety million, one hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 8699 10368 17398 26097 34796 52194 69592 78291 104388 139184 156582 208776 234873 278368 313164 417552 469746 556736 626328 704619 835104 939492 1113472 1252656 1409238 1670208 1878984 2505312 2818476 3340416 3757968 5010624 5636952 7515936 10021248 11273904 15031872 22547808 30063744 45095616 90191232