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80737920 = 27325107131
BaseRepresentation
bin1001100111111…
…11011010000000
312121220220121100
410303333122000
5131132103140
612002254400
72000155344
oct463773200
9177826540
1080737920
114163565a
1223057400
131395b223
14aa19624
15714c530
hex4cff680

80737920 has 192 divisors, whose sum is σ = 283551840. Its totient is φ = 21166080.

The previous prime is 80737903. The next prime is 80737931. The reversal of 80737920 is 2973708.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×807379202 = 13037223451852800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 616255 + ... + 616385.

Almost surely, 280737920 is an apocalyptic number.

80737920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141775920).

80737920 is an abundant number, since it is smaller than the sum of its proper divisors (202813920).

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

80737920 is a wasteful number, since it uses less digits than its factorization.

80737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 80737920 is about 8985.4282034859. The cubic root of 80737920 is about 432.2077190363.

The spelling of 80737920 in words is "eighty million, seven hundred thirty-seven thousand, nine hundred twenty".