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65379136 = 266779193
BaseRepresentation
bin1111100101100…
…1101101000000
311120000121022111
43321121231000
5113214113021
610253145104
71422466504
oct371315500
9146017274
1065379136
11339a5349
1219a8b194
13107114a4
14897c304
155b168e1
hex3e59b40

65379136 has 56 divisors (see below), whose sum is σ = 134030720. Its totient is φ = 31629312.

The previous prime is 65379131. The next prime is 65379163. The reversal of 65379136 is 63197356.

65379136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65379131) by changing a digit.

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, 338656 + ... + 338848.

Almost surely, 265379136 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 65379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67015360).

65379136 is an abundant number, since it is smaller than the sum of its proper divisors (68651584).

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

65379136 is a wasteful number, since it uses less digits than its factorization.

65379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its digits is 102060, while the sum is 40.

The square root of 65379136 is about 8085.7365774554. The cubic root of 65379136 is about 402.8528053837.

The spelling of 65379136 in words is "sixty-five million, three hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 79 134 158 193 268 316 386 536 632 772 1072 1264 1544 2144 2528 3088 4288 5056 5293 6176 10586 12352 12931 15247 21172 25862 30494 42344 51724 60988 84688 103448 121976 169376 206896 243952 338752 413792 487904 827584 975808 1021549 2043098 4086196 8172392 16344784 32689568 65379136