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90357006 = 23172107487
BaseRepresentation
bin1010110001010…
…11110100001110
320022000121111210
411120223310032
5141112411011
612544355250
72145010335
oct530536416
9208017453
1090357006
1147005613
1226315b26
13159485ac
14c000d1c
157dec6a6
hex562bd0e

90357006 has 48 divisors (see below), whose sum is σ = 194161536. Its totient is φ = 28024704.

The previous prime is 90356969. The next prime is 90357017. The reversal of 90357006 is 60075309.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185295 + ... + 185781.

It is an arithmetic number, because the mean of its divisors is an integer number (4045032).

Almost surely, 290357006 is an apocalyptic number.

90357006 is an abundant number, since it is smaller than the sum of its proper divisors (103804530).

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

90357006 is a wasteful number, since it uses less digits than its factorization.

90357006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 90357006 is about 9505.6302263448. The cubic root of 90357006 is about 448.7322441331.

The spelling of 90357006 in words is "ninety million, three hundred fifty-seven thousand, six".

Divisors: 1 2 3 6 17 34 51 102 107 214 289 321 487 578 642 867 974 1461 1734 1819 2922 3638 5457 8279 10914 16558 24837 30923 49674 52109 61846 92769 104218 140743 156327 185538 281486 312654 422229 844458 885853 1771706 2657559 5315118 15059501 30119002 45178503 90357006