Search a number
-
+
12490764 = 223111329251
BaseRepresentation
bin101111101001…
…100000001100
3212111121002220
4233221200030
511144201024
61123415340
7211112136
oct57514014
925447086
1012490764
117061550
124224550
1327844b0
141932056
15116ae79
hexbe980c

12490764 has 96 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 3360000.

The previous prime is 12490759. The next prime is 12490781. The reversal of 12490764 is 46709421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 49639 + ... + 49889.

It is an arithmetic number, because the mean of its divisors is an integer number (370440).

Almost surely, 212490764 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 12490764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

12490764 is an abundant number, since it is smaller than the sum of its proper divisors (23071476).

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

12490764 is a wasteful number, since it uses less digits than its factorization.

12490764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12490764 is about 3534.2274969221. The cubic root of 12490764 is about 232.0222679775.

The spelling of 12490764 in words is "twelve million, four hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 251 286 319 348 377 429 502 572 638 753 754 858 957 1004 1131 1276 1506 1508 1716 1914 2262 2761 3012 3263 3828 4147 4524 5522 6526 7279 8283 8294 9789 11044 12441 13052 14558 16566 16588 19578 21837 24882 29116 33132 35893 39156 43674 49764 71786 80069 87348 94627 107679 143572 160138 189254 215358 240207 283881 320276 378508 430716 480414 567762 960828 1040897 1135524 2081794 3122691 4163588 6245382 12490764