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66952760 = 2357487491
BaseRepresentation
bin1111111101100…
…1111000111000
311122222112220212
43333121320320
5114114442020
610351010252
71442042360
oct377317070
9148875825
1066952760
113487a666
121a509988
1310b42824
148c6b9a0
155d27cc5
hex3fd9e38

66952760 has 64 divisors (see below), whose sum is σ = 172869120. Its totient is φ = 22861440.

The previous prime is 66952759. The next prime is 66952771. The reversal of 66952760 is 6725966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136115 + ... + 136605.

It is an arithmetic number, because the mean of its divisors is an integer number (2701080).

Almost surely, 266952760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66952760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86434560).

66952760 is an abundant number, since it is smaller than the sum of its proper divisors (105916360).

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

66952760 is a wasteful number, since it uses less digits than its factorization.

66952760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 66952760 is about 8182.4666207691. The cubic root of 66952760 is about 406.0593311174.

The spelling of 66952760 in words is "sixty-six million, nine hundred fifty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 487 491 974 982 1948 1964 2435 2455 3409 3437 3896 3928 4870 4910 6818 6874 9740 9820 13636 13748 17045 17185 19480 19640 27272 27496 34090 34370 68180 68740 136360 137480 239117 478234 956468 1195585 1673819 1912936 2391170 3347638 4782340 6695276 8369095 9564680 13390552 16738190 33476380 66952760