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64141080 = 23353731433
BaseRepresentation
bin1111010010101…
…1011100011000
311110200201000120
43310223130120
5112410003310
610210433240
71406122143
oct364533430
9143621016
1064141080
113322a163
1219592820
1310399b03
14873905a
15596eb70
hex3d2b718

64141080 has 64 divisors (see below), whose sum is σ = 193073760. Its totient is φ = 17046528.

The previous prime is 64141067. The next prime is 64141081. The reversal of 64141080 is 8014146.

It is a super-2 number, since 2×641410802 = 8228156287132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64141080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64141081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44044 + ... + 45476.

Almost surely, 264141080 is an apocalyptic number.

64141080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64141080 is an abundant number, since it is smaller than the sum of its proper divisors (128932680).

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

64141080 is a wasteful number, since it uses less digits than its factorization.

64141080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 64141080 is about 8008.8126460793. The cubic root of 64141080 is about 400.2937009632.

The spelling of 64141080 in words is "sixty-four million, one hundred forty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 373 746 1119 1433 1492 1865 2238 2866 2984 3730 4299 4476 5595 5732 7165 7460 8598 8952 11190 11464 14330 14920 17196 21495 22380 28660 34392 42990 44760 57320 85980 171960 534509 1069018 1603527 2138036 2672545 3207054 4276072 5345090 6414108 8017635 10690180 12828216 16035270 21380360 32070540 64141080