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3995074560 = 22135127
BaseRepresentation
bin1110111000100000…
…0000000000000000
3101022102102211000110
43232020000000000
531140214341220
61500232151320
7201000400461
oct35610000000
911272384013
103995074560
11177012a714
12935b38540
134b88b8859
1429c830d68
15185b00be0
hexee200000

3995074560 has 176 divisors, whose sum is σ = 12884898816. Its totient is φ = 1056964608.

The previous prime is 3995074543. The next prime is 3995074571. The reversal of 3995074560 is 654705993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31457217 + ... + 31457343.

Almost surely, 23995074560 is an apocalyptic number.

3995074560 is a gapful number since it is divisible by the number (30) 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 3995074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442449408).

3995074560 is an abundant number, since it is smaller than the sum of its proper divisors (8889824256).

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

3995074560 is an frugal number, since it uses more digits than its factorization.

3995074560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 48.

The square root of 3995074560 is about 63206.6021867969. The cubic root of 3995074560 is about 1586.7492302995.

The spelling of 3995074560 in words is "three billion, nine hundred ninety-five million, seventy-four thousand, five hundred sixty".