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64476540 = 22335139859
BaseRepresentation
bin1111010111110…
…1010101111100
311111022202012000
43311331111330
5113001222130
610221542300
71412020152
oct365752574
9144282160
1064476540
11334391a7
1219714990
13104866cb
1487c53d2
1559d9260
hex3d7d57c

64476540 has 96 divisors (see below), whose sum is σ = 202272000. Its totient is φ = 17050176.

The previous prime is 64476539. The next prime is 64476551. The reversal of 64476540 is 4567446.

64476540 is a `hidden beast` number, since 6 + 44 + 76 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 64476495 and 64476504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74631 + ... + 75489.

It is an arithmetic number, because the mean of its divisors is an integer number (2107000).

Almost surely, 264476540 is an apocalyptic number.

64476540 is a gapful number since it is divisible by the number (60) 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 64476540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101136000).

64476540 is an abundant number, since it is smaller than the sum of its proper divisors (137795460).

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

64476540 is a wasteful number, since it uses less digits than its factorization.

64476540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 64476540 is about 8029.7285134679. The cubic root of 64476540 is about 400.9903377211.

The spelling of 64476540 in words is "sixty-four million, four hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 859 1251 1390 1668 1718 2085 2502 2577 2780 3436 3753 4170 4295 5004 5154 6255 7506 7731 8340 8590 10308 12510 12885 15012 15462 17180 18765 23193 25020 25770 30924 37530 38655 46386 51540 75060 77310 92772 115965 119401 154620 231930 238802 358203 463860 477604 597005 716406 1074609 1194010 1432812 1791015 2149218 2388020 3223827 3582030 4298436 5373045 6447654 7164060 10746090 12895308 16119135 21492180 32238270 64476540