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12574116 = 22341972
BaseRepresentation
bin101111111101…
…110110100100
3212122211110000
4233331312210
511204332431
61125301300
7211610142
oct57756644
925584400
1012574116
117109135
124264830
1327b3409
141954592
1511859e6
hexbfdda4

12574116 has 45 divisors (see below), whose sum is σ = 33038929. Its totient is φ = 4170096.

The previous prime is 12574109. The next prime is 12574141. The reversal of 12574116 is 61147521.

It is a happy number.

The square root of 12574116 is 3546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12320100 + 254016 = 3510^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12574116.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 63730 + ... + 63926.

Almost surely, 212574116 is an apocalyptic number.

12574116 is the 3546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12574116

12574116 is an abundant number, since it is smaller than the sum of its proper divisors (20464813).

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

12574116 is an equidigital number, since it uses as much as digits as its factorization.

12574116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 202 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The cubic root of 12574116 is about 232.5372260893.

The spelling of 12574116 in words is "twelve million, five hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 788 1182 1773 2364 3546 5319 7092 10638 15957 21276 31914 38809 63828 77618 116427 155236 232854 349281 465708 698562 1047843 1397124 2095686 3143529 4191372 6287058 12574116