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12939920 = 245723301
BaseRepresentation
bin110001010111…
…001010010000
3220100102020022
4301113022100
511303034140
61141203012
7214662500
oct61271220
926312208
1012939920
117338a54
124400468
1328b0a76
141a0ba00
1512090b5
hexc57290

12939920 has 60 divisors (see below), whose sum is σ = 35007804. Its totient is φ = 4435200.

The previous prime is 12939919. The next prime is 12939923. The reversal of 12939920 is 2993921.

It can be written as a sum of positive squares in 2 ways, for example, as 3625216 + 9314704 = 1904^2 + 3052^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12939923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2270 + ... + 5570.

Almost surely, 212939920 is an apocalyptic number.

12939920 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 12939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503902).

12939920 is an abundant number, since it is smaller than the sum of its proper divisors (22067884).

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

12939920 is a wasteful number, since it uses less digits than its factorization.

12939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 12939920 is about 3597.2100300094. The cubic root of 12939920 is about 234.7706831978.

The spelling of 12939920 in words is "twelve million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3301 3920 6602 13204 16505 23107 26408 33010 46214 52816 66020 92428 115535 132040 161749 184856 231070 264080 323498 369712 462140 646996 808745 924280 1293992 1617490 1848560 2587984 3234980 6469960 12939920