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12920958 = 234471697
BaseRepresentation
bin110001010010…
…100001111110
3220022110020000
4301102201332
511301432313
61140535130
7214553301
oct61224176
926273200
1012920958
117325786
1243b14a6
1328a524b
141a04b38
151203673
hexc5287e

12920958 has 40 divisors (see below), whose sum is σ = 29585952. Its totient is φ = 4212864.

The previous prime is 12920951. The next prime is 12920977. The reversal of 12920958 is 85902921.

12920958 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6766 + ... + 8462.

Almost surely, 212920958 is an apocalyptic number.

12920958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12920958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792976).

12920958 is an abundant number, since it is smaller than the sum of its proper divisors (16664994).

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

12920958 is a wasteful number, since it uses less digits than its factorization.

12920958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12920958 is about 3594.5734100168. The cubic root of 12920958 is about 234.6559504440.

The spelling of 12920958 in words is "twelve million, nine hundred twenty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 1697 2538 3394 3807 5091 7614 10182 15273 30546 45819 79759 91638 137457 159518 239277 274914 478554 717831 1435662 2153493 4306986 6460479 12920958