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65681064 = 23331731577
BaseRepresentation
bin1111101010001…
…1011010101000
311120120221111000
43322203122220
5113303243224
610303435000
71425164661
oct372433250
9146527430
1065681064
1134091179
1219bb5a60
13107b8a47
148a1a368
155b760c9
hex3ea36a8

65681064 has 128 divisors (see below), whose sum is σ = 199756800. Its totient is φ = 19906560.

The previous prime is 65681041. The next prime is 65681071. The reversal of 65681064 is 46018656.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 31 ways as a sum of consecutive naturals, for example, 113544 + ... + 114120.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 265681064 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 65681064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99878400).

65681064 is an abundant number, since it is smaller than the sum of its proper divisors (134075736).

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

65681064 is a wasteful number, since it uses less digits than its factorization.

65681064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 65681064 is about 8104.3854794796. The cubic root of 65681064 is about 403.4719926387.

The spelling of 65681064 in words is "sixty-five million, six hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 93 102 108 124 136 153 186 204 216 248 279 306 372 408 459 527 558 577 612 744 837 918 1054 1116 1154 1224 1581 1674 1731 1836 2108 2232 2308 3162 3348 3462 3672 4216 4616 4743 5193 6324 6696 6924 9486 9809 10386 12648 13848 14229 15579 17887 18972 19618 20772 28458 29427 31158 35774 37944 39236 41544 53661 56916 58854 62316 71548 78472 88281 107322 113832 117708 124632 143096 160983 176562 214644 235416 264843 304079 321966 353124 429288 482949 529686 608158 643932 706248 912237 965898 1059372 1216316 1287864 1824474 1931796 2118744 2432632 2736711 3648948 3863592 5473422 7297896 8210133 10946844 16420266 21893688 32840532 65681064