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66930408 = 23331631901
BaseRepresentation
bin1111111101010…
…0011011101000
311122221102021000
43333110123220
5114113233113
610350315000
71441620246
oct377243350
9148842230
1066930408
1134864896
121a4b8a60
1310b355bc
148c63796
155d21373
hex3fd46e8

66930408 has 64 divisors (see below), whose sum is σ = 187156800. Its totient is φ = 22161600.

The previous prime is 66930341. The next prime is 66930419. The reversal of 66930408 is 80403966.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 34258 + ... + 36158.

It is an arithmetic number, because the mean of its divisors is an integer number (2924325).

Almost surely, 266930408 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 66930408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93578400).

66930408 is an abundant number, since it is smaller than the sum of its proper divisors (120226392).

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

66930408 is a wasteful number, since it uses less digits than its factorization.

66930408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66930408 is about 8181.1006594467. The cubic root of 66930408 is about 406.0141388138.

The spelling of 66930408 in words is "sixty-six million, nine hundred thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1901 1956 2934 3802 3912 4401 5703 5868 7604 8802 11406 11736 15208 17109 17604 22812 34218 35208 45624 51327 68436 102654 136872 205308 309863 410616 619726 929589 1239452 1859178 2478904 2788767 3718356 5577534 7436712 8366301 11155068 16732602 22310136 33465204 66930408