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12064920 = 2335753271
BaseRepresentation
bin101110000001…
…100010011000
3211200221221220
4232001202120
511042034140
61110332040
7204356460
oct56014230
924627856
1012064920
1168a060a
12405a020
13266570a
141860ba0
1510d4bd0
hexb81898

12064920 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 2695680.

The previous prime is 12064901. The next prime is 12064931. The reversal of 12064920 is 2946021.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 44385 + ... + 44655.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 212064920 is an apocalyptic number.

12064920 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 12064920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

12064920 is an abundant number, since it is smaller than the sum of its proper divisors (30236520).

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

12064920 is a wasteful number, since it uses less digits than its factorization.

12064920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12064920 is about 3473.4593707139. The cubic root of 12064920 is about 229.3549664858.

The spelling of 12064920 in words is "twelve million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 271 280 318 371 420 424 530 542 636 742 795 813 840 1060 1084 1113 1272 1355 1484 1590 1626 1855 1897 2120 2168 2226 2710 2968 3180 3252 3710 3794 4065 4452 5420 5565 5691 6360 6504 7420 7588 8130 8904 9485 10840 11130 11382 14363 14840 15176 16260 18970 22260 22764 28455 28726 32520 37940 43089 44520 45528 56910 57452 71815 75880 86178 100541 113820 114904 143630 172356 201082 215445 227640 287260 301623 344712 402164 430890 502705 574520 603246 804328 861780 1005410 1206492 1508115 1723560 2010820 2412984 3016230 4021640 6032460 12064920