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64145880 = 23325178183
BaseRepresentation
bin1111010010110…
…0100111011000
311110200221121100
43310230213120
5112410132010
610210511400
71406142141
oct364544730
9143627540
1064145880
1133232827
1219595560
131039c056
14873aac8
1559712c0
hex3d2c9d8

64145880 has 48 divisors (see below), whose sum is σ = 208475280. Its totient is φ = 17105472.

The previous prime is 64145863. The next prime is 64145933. The reversal of 64145880 is 8854146.

64145880 is a `hidden beast` number, since 64 + 14 + 588 + 0 = 666.

It is a super-2 number, since 2×641458802 = 8229387841948800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88732 + ... + 89451.

It is an arithmetic number, because the mean of its divisors is an integer number (4343235).

Almost surely, 264145880 is an apocalyptic number.

64145880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64145880 is an abundant number, since it is smaller than the sum of its proper divisors (144329400).

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

64145880 is a wasteful number, since it uses less digits than its factorization.

64145880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178200 (or 178193 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 64145880 is about 8009.1123103625. The cubic root of 64145880 is about 400.3036860453.

It can be divided in two parts, 64145 and 880, that added together give a square (65025 = 2552).

The spelling of 64145880 in words is "sixty-four million, one hundred forty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 178183 356366 534549 712732 890915 1069098 1425464 1603647 1781830 2138196 2672745 3207294 3563660 4276392 5345490 6414588 7127320 8018235 10690980 12829176 16036470 21381960 32072940 64145880