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66943620 = 2232517131167
BaseRepresentation
bin1111111101011…
…1101010000100
311122222002101100
43333113222010
5114114143440
610350500100
71442003622
oct377275204
9148862340
1066943620
1134873807
121a504630
1310b3b613
148c68512
155d25230
hex3fd7a84

66943620 has 144 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 16573440.

The previous prime is 66943607. The next prime is 66943621. The reversal of 66943620 is 2634966.

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

It is not an unprimeable number, because it can be changed into a prime (66943621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400777 + ... + 400943.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 266943620 is an apocalyptic number.

66943620 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 66943620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

66943620 is an abundant number, since it is smaller than the sum of its proper divisors (151002108).

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

66943620 is a wasteful number, since it uses less digits than its factorization.

66943620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66943620 is about 8181.9080904151. The cubic root of 66943620 is about 406.0408526599.

The spelling of 66943620 in words is "sixty-six million, nine hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 131 153 167 170 180 204 255 262 306 334 340 393 501 510 524 612 655 668 765 786 835 1002 1020 1179 1310 1503 1530 1572 1670 1965 2004 2227 2358 2505 2620 2839 3006 3060 3340 3930 4454 4716 5010 5678 5895 6012 6681 7515 7860 8517 8908 10020 11135 11356 11790 13362 14195 15030 17034 20043 21877 22270 23580 25551 26724 28390 30060 33405 34068 40086 42585 43754 44540 51102 56780 65631 66810 80172 85170 87508 100215 102204 109385 127755 131262 133620 170340 196893 200430 218770 255510 262524 328155 371909 393786 400860 437540 511020 656310 743818 787572 984465 1115727 1312620 1487636 1859545 1968930 2231454 3347181 3719090 3937860 4462908 5578635 6694362 7438180 11157270 13388724 16735905 22314540 33471810 66943620