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64509720 = 23351148871
BaseRepresentation
bin1111011000010…
…1011100011000
311111101102200220
43312011130120
5113003302340
610222400040
71412215662
oct366053430
9144342626
1064509720
1133461120
1219730020
1310498842
1487d3532
1559e3ed0
hex3d85718

64509720 has 64 divisors (see below), whose sum is σ = 211127040. Its totient is φ = 15638400.

The previous prime is 64509719. The next prime is 64509727. The reversal of 64509720 is 2790546.

64509720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64509727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23116 + ... + 25755.

It is an arithmetic number, because the mean of its divisors is an integer number (3298860).

Almost surely, 264509720 is an apocalyptic number.

64509720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64509720 is an abundant number, since it is smaller than the sum of its proper divisors (146617320).

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

64509720 is a wasteful number, since it uses less digits than its factorization.

64509720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48896 (or 48892 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 64509720 is about 8031.7943200757. The cubic root of 64509720 is about 401.0591099071.

The spelling of 64509720 in words is "sixty-four million, five hundred nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 48871 97742 146613 195484 244355 293226 390968 488710 537581 586452 733065 977420 1075162 1172904 1466130 1612743 1954840 2150324 2687905 2932260 3225486 4300648 5375810 5864520 6450972 8063715 10751620 12901944 16127430 21503240 32254860 64509720