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12970804 = 22711231831
BaseRepresentation
bin110001011110…
…101100110100
3220101222121011
4301132230310
511310031204
61142002004
7215151520
oct61365464
926358534
1012970804
11735a180
124416304
1328c1b42
141a18d80
151213304
hexc5eb34

12970804 has 48 divisors (see below), whose sum is σ = 29546496. Its totient is φ = 4831200.

The previous prime is 12970799. The next prime is 12970807. The reversal of 12970804 is 40807921.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12970807) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6169 + ... + 7999.

It is an arithmetic number, because the mean of its divisors is an integer number (615552).

Almost surely, 212970804 is an apocalyptic number.

12970804 is a gapful number since it is divisible by the number (14) 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 12970804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773248).

12970804 is an abundant number, since it is smaller than the sum of its proper divisors (16575692).

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

12970804 is a wasteful number, since it uses less digits than its factorization.

12970804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 12970804 is about 3601.5002429543. The cubic root of 12970804 is about 234.9573123006.

The spelling of 12970804 in words is "twelve million, nine hundred seventy thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 1831 3542 3662 7084 7324 12817 20141 25634 40282 42113 51268 80564 84226 140987 168452 281974 294791 463243 563948 589582 926486 1179164 1852972 3242701 6485402 12970804