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12064080 = 2435743167
BaseRepresentation
bin101110000001…
…010101010000
3211200220210210
4232001111100
511042022310
61110324120
7204354150
oct56012520
924626723
1012064080
11689aa16
124059640
132665212
141860760
1510d4820
hexb81550

12064080 has 160 divisors (see below), whose sum is σ = 43997184. Its totient is φ = 2677248.

The previous prime is 12064061. The next prime is 12064093. The reversal of 12064080 is 8046021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 72157 + ... + 72323.

Almost surely, 212064080 is an apocalyptic number.

12064080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12064080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592).

12064080 is an abundant number, since it is smaller than the sum of its proper divisors (31933104).

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

12064080 is a wasteful number, since it uses less digits than its factorization.

12064080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12064080 is about 3473.3384516917. The cubic root of 12064080 is about 229.3496435428.

The spelling of 12064080 in words is "twelve million, sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 43 48 56 60 70 80 84 86 105 112 120 129 140 167 168 172 210 215 240 258 280 301 334 336 344 420 430 501 516 560 602 645 668 688 835 840 860 903 1002 1032 1169 1204 1290 1336 1505 1670 1680 1720 1806 2004 2064 2338 2408 2505 2580 2672 3010 3340 3440 3507 3612 4008 4515 4676 4816 5010 5160 5845 6020 6680 7014 7181 7224 8016 9030 9352 10020 10320 11690 12040 13360 14028 14362 14448 17535 18060 18704 20040 21543 23380 24080 28056 28724 35070 35905 36120 40080 43086 46760 50267 56112 57448 70140 71810 72240 86172 93520 100534 107715 114896 140280 143620 150801 172344 201068 215430 251335 280560 287240 301602 344688 402136 430860 502670 574480 603204 754005 804272 861720 1005340 1206408 1508010 1723440 2010680 2412816 3016020 4021360 6032040 12064080