Search a number
-
+
64681704 = 233223139281
BaseRepresentation
bin1111011010111…
…1011011101000
311111201011121200
43312233123220
5113024303304
610230204200
71413533253
oct366573350
9144634550
1064681704
113356935a
12197b3660
1310528bc9
14883a09a
155a29e39
hex3daf6e8

64681704 has 96 divisors (see below), whose sum is σ = 184766400. Its totient is φ = 20401920.

The previous prime is 64681699. The next prime is 64681711. The reversal of 64681704 is 40718646.

64681704 is a `hidden beast` number, since 646 + 8 + 1 + 7 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230044 + ... + 230324.

It is an arithmetic number, because the mean of its divisors is an integer number (1924650).

Almost surely, 264681704 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 64681704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383200).

64681704 is an abundant number, since it is smaller than the sum of its proper divisors (120084696).

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

64681704 is a wasteful number, since it uses less digits than its factorization.

64681704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64681704 is about 8042.4936431433. The cubic root of 64681704 is about 401.4152037575.

The spelling of 64681704 in words is "sixty-four million, six hundred eighty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 139 184 207 276 278 281 414 417 552 556 562 828 834 843 1112 1124 1251 1656 1668 1686 2248 2502 2529 3197 3336 3372 5004 5058 6394 6463 6744 9591 10008 10116 12788 12926 19182 19389 20232 25576 25852 28773 38364 38778 39059 51704 57546 58167 76728 77556 78118 115092 116334 117177 155112 156236 230184 232668 234354 312472 351531 465336 468708 703062 898357 937416 1406124 1796714 2695071 2812248 3593428 5390142 7186856 8085213 10780284 16170426 21560568 32340852 64681704