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66921932 = 227113143163
BaseRepresentation
bin1111111101001…
…0010111001100
311122220222122002
43333102113030
5114113000212
610350211432
71441553450
oct377222714
9148828562
1066921932
1134859490
121a4b3b78
1310b3179c
148c60660
155d1dac2
hex3fd25cc

66921932 has 96 divisors (see below), whose sum is σ = 155172864. Its totient is φ = 24494400.

The previous prime is 66921931. The next prime is 66921961. The reversal of 66921932 is 23912966.

It is a super-2 number, since 2×669219322 = 8957089965225248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66921931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410483 + ... + 410645.

It is an arithmetic number, because the mean of its divisors is an integer number (1616384).

Almost surely, 266921932 is an apocalyptic number.

66921932 is a gapful number since it is divisible by the number (62) 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 66921932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586432).

66921932 is an abundant number, since it is smaller than the sum of its proper divisors (88250932).

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

66921932 is a wasteful number, since it uses less digits than its factorization.

66921932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its digits is 34992, while the sum is 38.

The square root of 66921932 is about 8180.5826198383. The cubic root of 66921932 is about 405.9969990152.

The spelling of 66921932 in words is "sixty-six million, nine hundred twenty-one thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 43 44 62 77 86 124 154 163 172 217 301 308 326 341 434 473 602 652 682 868 946 1141 1204 1333 1364 1793 1892 2282 2387 2666 3311 3586 4564 4774 5053 5332 6622 7009 7172 9331 9548 10106 12551 13244 14018 14663 18662 20212 25102 28036 29326 35371 37324 49063 50204 55583 58652 70742 77099 98126 102641 111166 141484 154198 196252 205282 217279 222332 308396 389081 410564 434558 539693 778162 869116 1079386 1520953 1556324 2158772 2390069 3041906 4780138 6083812 9560276 16730483 33460966 66921932