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90264930 = 23572291877
BaseRepresentation
bin1010110000101…
…01010101100010
320021211221012120
411120111111202
5141101434210
612542405110
72144145030
oct530252542
9207757176
1090264930
1146a52418
1226290796
1315915702
14bdb9550
157dd0270
hex5615562

90264930 has 64 divisors (see below), whose sum is σ = 248797440. Its totient is φ = 20530944.

The previous prime is 90264929. The next prime is 90264997. The reversal of 90264930 is 3946209.

It is a junction number, because it is equal to n+sod(n) for n = 90264891 and 90264900.

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, 47152 + ... + 49028.

It is an arithmetic number, because the mean of its divisors is an integer number (3887460).

Almost surely, 290264930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90264930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124398720).

90264930 is an abundant number, since it is smaller than the sum of its proper divisors (158532510).

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

90264930 is a wasteful number, since it uses less digits than its factorization.

90264930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 90264930 is about 9500.7857569782. The cubic root of 90264930 is about 448.5797692840.

The spelling of 90264930 in words is "ninety million, two hundred sixty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 458 687 1145 1374 1603 1877 2290 3206 3435 3754 4809 5631 6870 8015 9385 9618 11262 13139 16030 18770 24045 26278 28155 39417 48090 56310 65695 78834 131390 197085 394170 429833 859666 1289499 2149165 2578998 3008831 4298330 6017662 6447495 9026493 12894990 15044155 18052986 30088310 45132465 90264930