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66928380 = 22353135983
BaseRepresentation
bin1111111101001…
…1111011111100
311122221022110220
43333103323330
5114113202010
610350301340
71441611321
oct377237374
9148838426
1066928380
1134863312
121a4b7850
1310b346bc
148c62b48
155d20970
hex3fd3efc

66928380 has 48 divisors (see below), whose sum is σ = 193449984. Its totient is φ = 17271360.

The previous prime is 66928333. The next prime is 66928387. The reversal of 66928380 is 8382966.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66928387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16132 + ... + 19851.

It is an arithmetic number, because the mean of its divisors is an integer number (4030208).

Almost surely, 266928380 is an apocalyptic number.

66928380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66928380 is an abundant number, since it is smaller than the sum of its proper divisors (126521604).

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

66928380 is a wasteful number, since it uses less digits than its factorization.

66928380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36026 (or 36024 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 66928380 is about 8180.9767143050. The cubic root of 66928380 is about 406.0100380121.

The spelling of 66928380 in words is "sixty-six million, nine hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 35983 71966 107949 143932 179915 215898 359830 431796 539745 719660 1079490 1115473 2158980 2230946 3346419 4461892 5577365 6692838 11154730 13385676 16732095 22309460 33464190 66928380