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66169032 = 233171271277
BaseRepresentation
bin1111110001101…
…0100011001000
311121111201211220
43330122203020
5113414402112
610322122040
71432266426
oct374324310
9147451756
1066169032
1134394856
121a1b0320
1310929b97
148b06116
155c2098c
hex3f1a8c8

66169032 has 64 divisors (see below), whose sum is σ = 176670720. Its totient is φ = 20579328.

The previous prime is 66169027. The next prime is 66169043. The reversal of 66169032 is 23096166.

It is a happy number.

66169032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66168984 and 66169002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51178 + ... + 52454.

It is an arithmetic number, because the mean of its divisors is an integer number (2760480).

Almost surely, 266169032 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 66169032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88335360).

66169032 is an abundant number, since it is smaller than the sum of its proper divisors (110501688).

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

66169032 is a wasteful number, since it uses less digits than its factorization.

66169032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 66169032 is about 8134.4349527180. The cubic root of 66169032 is about 404.4687073915.

The spelling of 66169032 in words is "sixty-six million, one hundred sixty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 762 1016 1277 1524 2159 2554 3048 3831 4318 5108 6477 7662 8636 10216 12954 15324 17272 21709 25908 30648 43418 51816 65127 86836 130254 162179 173672 260508 324358 486537 521016 648716 973074 1297432 1946148 2757043 3892296 5514086 8271129 11028172 16542258 22056344 33084516 66169032