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90320664 = 23371015323
BaseRepresentation
bin1010110001000…
…10111100011000
320021221202122210
411120202330120
5141110230124
612543515120
72144466360
oct530427430
9207852583
1090320664
1146a90285
12262b8aa0
1315934ba5
14bdd19a0
157de1a29
hex5622f18

90320664 has 64 divisors (see below), whose sum is σ = 260663040. Its totient is φ = 25545600.

The previous prime is 90320647. The next prime is 90320669. The reversal of 90320664 is 46602309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90320669) 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, 14307 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (4072860).

Almost surely, 290320664 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 90320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130331520).

90320664 is an abundant number, since it is smaller than the sum of its proper divisors (170342376).

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

90320664 is a wasteful number, since it uses less digits than its factorization.

90320664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 90320664 is about 9503.7184301725. The cubic root of 90320664 is about 448.6720753472.

The spelling of 90320664 in words is "ninety million, three hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5323 5656 8484 10646 15969 16968 21292 31938 37261 42584 63876 74522 111783 127752 149044 223566 298088 447132 537623 894264 1075246 1612869 2150492 3225738 3763361 4300984 6451476 7526722 11290083 12902952 15053444 22580166 30106888 45160332 90320664