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12701052 = 22327133877
BaseRepresentation
bin110000011100…
…110101111100
3212220021120100
4300130311330
511222413202
61132121100
7212646210
oct60346574
925807510
1012701052
117195541
124306190
132829120
141988940
1511ad41c
hexc1cd7c

12701052 has 72 divisors (see below), whose sum is σ = 39524576. Its totient is φ = 3348864.

The previous prime is 12701009. The next prime is 12701069. The reversal of 12701052 is 25010721.

It is a super-2 number, since 2×127010522 = 322633443813408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338 + ... + 5214.

Almost surely, 212701052 is an apocalyptic number.

12701052 is a gapful number since it is divisible by the number (12) 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 12701052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762288).

12701052 is an abundant number, since it is smaller than the sum of its proper divisors (26823524).

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

12701052 is a wasteful number, since it uses less digits than its factorization.

12701052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12701052 is about 3563.8535323439. The cubic root of 12701052 is about 233.3170972830.

Adding to 12701052 its reverse (25010721), we get a palindrome (37711773).

The spelling of 12701052 in words is "twelve million, seven hundred one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3877 7754 11631 15508 23262 27139 34893 46524 50401 54278 69786 81417 100802 108556 139572 151203 162834 201604 244251 302406 325668 352807 453609 488502 604812 705614 907218 977004 1058421 1411228 1814436 2116842 3175263 4233684 6350526 12701052