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64415640 = 23352323339
BaseRepresentation
bin1111010110111…
…0011110011000
311111012122122110
43311232132120
5112442300030
610220352320
71411344462
oct365563630
9144178573
1064415640
11333a7473
12196a56a0
1310464a83
1487ab132
1559c61b0
hex3d6e798

64415640 has 64 divisors (see below), whose sum is σ = 201657600. Its totient is φ = 16429952.

The previous prime is 64415627. The next prime is 64415647. The reversal of 64415640 is 4651446.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64415598 and 64415607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64415647) 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, 8910 + ... + 14429.

It is an arithmetic number, because the mean of its divisors is an integer number (3150900).

Almost surely, 264415640 is an apocalyptic number.

64415640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64415640 is an abundant number, since it is smaller than the sum of its proper divisors (137241960).

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

64415640 is a wasteful number, since it uses less digits than its factorization.

64415640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23376 (or 23372 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 64415640 is about 8025.9354594963. The cubic root of 64415640 is about 400.8640488716.

The spelling of 64415640 in words is "sixty-four million, four hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 23339 46678 70017 93356 116695 140034 186712 233390 280068 350085 466780 536797 560136 700170 933560 1073594 1400340 1610391 2147188 2683985 2800680 3220782 4294376 5367970 6441564 8051955 10735940 12883128 16103910 21471880 32207820 64415640