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90146970 = 23257313721
BaseRepresentation
bin1010101111110…
…00100010011010
320021121221101200
411113320202122
5141034200340
612540055030
72143144104
oct527704232
9207557350
1090146970
1146981831
1226234476
13158a3b04
14bd88574
157daa330
hex55f889a

90146970 has 48 divisors (see below), whose sum is σ = 237610152. Its totient is φ = 23708160.

The previous prime is 90146957. The next prime is 90146981. The reversal of 90146970 is 7964109.

It can be written as a sum of positive squares in 4 ways, for example, as 62678889 + 27468081 = 7917^2 + 5241^2 .

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, 291 + ... + 13430.

Almost surely, 290146970 is an apocalyptic number.

90146970 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90146970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118805076).

90146970 is an abundant number, since it is smaller than the sum of its proper divisors (147463182).

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

90146970 is a wasteful number, since it uses less digits than its factorization.

90146970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13807 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 90146970 is about 9494.5758199090. The cubic root of 90146970 is about 448.3842797909.

The spelling of 90146970 in words is "ninety million, one hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 13721 27442 41163 68605 82326 123489 137210 205815 246978 411630 617445 1001633 1234890 2003266 3004899 5008165 6009798 9014697 10016330 15024495 18029394 30048990 45073485 90146970