Search a number
-
+
10464264 = 2332237189
BaseRepresentation
bin100111111010…
…110000001000
3201200122021100
4213322300020
510134324024
61012141400
7154642026
oct47726010
921618240
1010464264
1159a7a58
123607860
132224c95
141565716
15dba7c9
hex9fac08

10464264 has 96 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 3252480.

The previous prime is 10464257. The next prime is 10464277. The reversal of 10464264 is 46246401.

10464264 is a `hidden beast` number, since 10 + 4 + 642 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117532 + ... + 117620.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 210464264 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 10464264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

10464264 is an abundant number, since it is smaller than the sum of its proper divisors (19862136).

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

10464264 is a wasteful number, since it uses less digits than its factorization.

10464264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 10464264 is about 3234.8514649053. The cubic root of 10464264 is about 218.7272516208.

The spelling of 10464264 in words is "ten million, four hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 71 72 89 92 138 142 178 184 207 213 267 276 284 356 414 426 534 552 568 639 712 801 828 852 1068 1278 1602 1633 1656 1704 2047 2136 2556 3204 3266 4094 4899 5112 6141 6319 6408 6532 8188 9798 12282 12638 13064 14697 16376 18423 18957 19596 24564 25276 29394 36846 37914 39192 49128 50552 56871 58788 73692 75828 113742 117576 145337 147384 151656 227484 290674 436011 454968 581348 872022 1162696 1308033 1744044 2616066 3488088 5232132 10464264