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90074960 = 2454672411
BaseRepresentation
bin1010101111001…
…10111101010000
320021111021121122
411113212331100
5141024344320
612534341412
72142424133
oct527467520
9207437548
1090074960
1146932718
12261ba868
131587a0c1
14bd6a21a
157d93d25
hex55e6f50

90074960 has 40 divisors (see below), whose sum is σ = 209959776. Its totient is φ = 35937920.

The previous prime is 90074951. The next prime is 90074977. The reversal of 90074960 is 6947009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×900749602 = 16226996838003200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90074960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36155 + ... + 38565.

Almost surely, 290074960 is an apocalyptic number.

It is an amenable number.

90074960 is an abundant number, since it is smaller than the sum of its proper divisors (119884816).

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

90074960 is a wasteful number, since it uses less digits than its factorization.

90074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 90074960 is about 9490.7828971060. The cubic root of 90074960 is about 448.2648572038.

The spelling of 90074960 in words is "ninety million, seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 467 934 1868 2335 2411 3736 4670 4822 7472 9340 9644 12055 18680 19288 24110 37360 38576 48220 96440 192880 1125937 2251874 4503748 5629685 9007496 11259370 18014992 22518740 45037480 90074960