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12930940 = 22511531109
BaseRepresentation
bin110001010100…
…111101111100
3220022221220201
4301110331330
511302242230
61141053244
7214624351
oct61247574
926287821
1012930940
117332230
1243b7224
1328a9959
141a08628
1512065ca
hexc54f7c

12930940 has 48 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 4609280.

The previous prime is 12930923. The next prime is 12930941. The reversal of 12930940 is 4903921.

12930940 = T111 + T112 + ... + T428.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12930899 and 12930908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930941) 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, 11106 + ... + 12214.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 212930940 is an apocalyptic number.

12930940 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 12930940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

12930940 is an abundant number, since it is smaller than the sum of its proper divisors (17278820).

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

12930940 is a wasteful number, since it uses less digits than its factorization.

12930940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 12930940 is about 3595.9616238219. The cubic root of 12930940 is about 234.7163621867.

The spelling of 12930940 in words is "twelve million, nine hundred thirty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1109 1166 2218 2332 2915 4436 5545 5830 11090 11660 12199 22180 24398 48796 58777 60995 117554 121990 235108 243980 293885 587770 646547 1175540 1293094 2586188 3232735 6465470 12930940