Search a number
-
+
65383104 = 2631917923
BaseRepresentation
bin1111100101101…
…0101011000000
311120000210202110
43321122223000
5113214224404
610253215320
71422514203
oct371325300
9146023673
1065383104
11339a8326
1219a91540
1310713237
14897d93a
155b17b89
hex3e5aac0

65383104 has 56 divisors (see below), whose sum is σ = 182107840. Its totient is φ = 20646144.

The previous prime is 65383093. The next prime is 65383117. The reversal of 65383104 is 40138356.

65383104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 5314 + ... + 12609.

Almost surely, 265383104 is an apocalyptic number.

65383104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

65383104 is an abundant number, since it is smaller than the sum of its proper divisors (116724736).

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

65383104 is a wasteful number, since it uses less digits than its factorization.

65383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17957 (or 17947 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 65383104 is about 8085.9819440808. The cubic root of 65383104 is about 402.8609552191.

The spelling of 65383104 in words is "sixty-five million, three hundred eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 17923 35846 53769 71692 107538 143384 215076 286768 340537 430152 573536 681074 860304 1021611 1147072 1362148 1720608 2043222 2724296 3441216 4086444 5448592 8172888 10897184 16345776 21794368 32691552 65383104