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66718920 = 2335613907
BaseRepresentation
bin1111111010000…
…0110011001000
311122112200011010
43332200303020
5114040001140
610342003520
71440046542
oct376406310
9148480133
1066718920
113472aa04
121a4165a0
1310a90268
148c0a692
155ccd880
hex3fa0cc8

66718920 has 64 divisors (see below), whose sum is σ = 200704320. Its totient is φ = 17743104.

The previous prime is 66718919. The next prime is 66718957. The reversal of 66718920 is 2981766.

66718920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 73107 + ... + 74013.

It is an arithmetic number, because the mean of its divisors is an integer number (3136005).

Almost surely, 266718920 is an apocalyptic number.

66718920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66718920 is an abundant number, since it is smaller than the sum of its proper divisors (133985400).

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

66718920 is a wasteful number, since it uses less digits than its factorization.

66718920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 66718920 is about 8168.1650326129. The cubic root of 66718920 is about 405.5860438148.

The spelling of 66718920 in words is "sixty-six million, seven hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 613 907 1226 1814 1839 2452 2721 3065 3628 3678 4535 4904 5442 6130 7256 7356 9070 9195 10884 12260 13605 14712 18140 18390 21768 24520 27210 36280 36780 54420 73560 108840 555991 1111982 1667973 2223964 2779955 3335946 4447928 5559910 6671892 8339865 11119820 13343784 16679730 22239640 33359460 66718920