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66971940 = 22357159457
BaseRepresentation
bin1111111101111…
…0100100100100
311200000112020020
43333132210210
5114121100230
610351235140
71442152320
oct377364444
9150015206
1066971940
1134893012
121a518ab0
1310b4b489
148c74980
155d2d810
hex3fde924

66971940 has 48 divisors (see below), whose sum is σ = 214311552. Its totient is φ = 15307776.

The previous prime is 66971921. The next prime is 66971951. The reversal of 66971940 is 4917966.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66971892 and 66971901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79309 + ... + 80148.

It is an arithmetic number, because the mean of its divisors is an integer number (4464824).

Almost surely, 266971940 is an apocalyptic number.

66971940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66971940 is an abundant number, since it is smaller than the sum of its proper divisors (147339612).

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

66971940 is a wasteful number, since it uses less digits than its factorization.

66971940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159476 (or 159474 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 66971940 is about 8183.6385550683. The cubic root of 66971940 is about 406.0981021075.

The spelling of 66971940 in words is "sixty-six million, nine hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 159457 318914 478371 637828 797285 956742 1116199 1594570 1913484 2232398 2391855 3189140 3348597 4464796 4783710 5580995 6697194 9567420 11161990 13394388 16742985 22323980 33485970 66971940