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90792330 = 23529791321
BaseRepresentation
bin1010110100101…
…10000110001010
320022211201122220
411122112012022
5141220323310
613001554510
72151502446
oct532260612
9208751586
1090792330
1147282692
12264a5a36
1315a6b795
14c0b5826
157e86670
hex569618a

90792330 has 64 divisors (see below), whose sum is σ = 228441600. Its totient is φ = 23063040.

The previous prime is 90792319. The next prime is 90792341. The reversal of 90792330 is 3329709.

It is an interprime number because it is at equal distance from previous prime (90792319) and next prime (90792341).

It is a junction number, because it is equal to n+sod(n) for n = 90792291 and 90792300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68070 + ... + 69390.

It is an arithmetic number, because the mean of its divisors is an integer number (3569400).

Almost surely, 290792330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90792330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114220800).

90792330 is an abundant number, since it is smaller than the sum of its proper divisors (137649270).

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

90792330 is a wasteful number, since it uses less digits than its factorization.

90792330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 10206, while the sum is 33.

The square root of 90792330 is about 9528.5009314162. The cubic root of 90792330 is about 449.4517273265.

The spelling of 90792330 in words is "ninety million, seven hundred ninety-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 79 87 145 158 174 237 290 395 435 474 790 870 1185 1321 2291 2370 2642 3963 4582 6605 6873 7926 11455 13210 13746 19815 22910 34365 38309 39630 68730 76618 104359 114927 191545 208718 229854 313077 383090 521795 574635 626154 1043590 1149270 1565385 3026411 3130770 6052822 9079233 15132055 18158466 30264110 45396165 90792330