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90707328 = 2732711109
BaseRepresentation
bin1010110100000…
…01010110000000
320022200102001200
411122001112000
5141210113303
613000101200
72150666565
oct532012600
9208612050
1090707328
1147224838
1226464800
1315a3bb9a
14c09286c
157e6b3a3
hex5681580

90707328 has 96 divisors (see below), whose sum is σ = 264934800. Its totient is φ = 29783040.

The previous prime is 90707317. The next prime is 90707329. The reversal of 90707328 is 82370709.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 90707292 and 90707301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90707329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81238 + ... + 82346.

Almost surely, 290707328 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 90707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132467400).

90707328 is an abundant number, since it is smaller than the sum of its proper divisors (174227472).

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

90707328 is a wasteful number, since it uses less digits than its factorization.

90707328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90707328 is about 9524.0394791286. The cubic root of 90707328 is about 449.3114209646.

The spelling of 90707328 in words is "ninety million, seven hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1109 1136 1152 1278 1704 2218 2272 2556 3327 3408 4436 4544 5112 6654 6816 8872 9088 9981 10224 13308 13632 17744 19962 20448 26616 27264 35488 39924 40896 53232 70976 78739 79848 81792 106464 141952 157478 159696 212928 236217 314956 319392 425856 472434 629912 638784 708651 944868 1259824 1277568 1417302 1889736 2519648 2834604 3779472 5039296 5669208 7558944 10078592 11338416 15117888 22676832 30235776 45353664 90707328