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12920430 = 235599719
BaseRepresentation
bin110001010010…
…011001101110
3220022102111110
4301102121232
511301423210
61140532450
7214551615
oct61223156
926272443
1012920430
117325346
1243b1126
1328a4c33
141a0487c
151203420
hexc5266e

12920430 has 32 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 3434912.

The previous prime is 12920429. The next prime is 12920431. The reversal of 12920430 is 3402921.

12920430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12920429) and next prime (12920431).

It is a super-2 number, since 2×129204302 = 333875022769800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12920397 and 12920406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12920431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17611 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 212920430 is an apocalyptic number.

12920430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3594×3595.

12920430 is an abundant number, since it is smaller than the sum of its proper divisors (18183570).

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

12920430 is a wasteful number, since it uses less digits than its factorization.

12920430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12920430 is about 3594.4999652246. The cubic root of 12920430 is about 234.6527540858.

The spelling of 12920430 in words is "twelve million, nine hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 599 719 1198 1438 1797 2157 2995 3594 3595 4314 5990 7190 8985 10785 17970 21570 430681 861362 1292043 2153405 2584086 4306810 6460215 12920430