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12407380 = 22519103317
BaseRepresentation
bin101111010101…
…001001010100
3212100100201121
4233111021110
511134014010
61121533324
7210314056
oct57251124
925310647
1012407380
117004937
1241a4244
13275555b
14190d8d6
1511513da
hexbd5254

12407380 has 48 divisors (see below), whose sum is σ = 27780480. Its totient is φ = 4641408.

The previous prime is 12407377. The next prime is 12407383. The reversal of 12407380 is 8370421.

12407380 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 (12407377) and next prime (12407383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12407383) 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, 38982 + ... + 39298.

It is an arithmetic number, because the mean of its divisors is an integer number (578760).

Almost surely, 212407380 is an apocalyptic number.

12407380 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 12407380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890240).

12407380 is an abundant number, since it is smaller than the sum of its proper divisors (15373100).

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

12407380 is a wasteful number, since it uses less digits than its factorization.

12407380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 12407380 is about 3522.4111060465. The cubic root of 12407380 is about 231.5048148062.

The spelling of 12407380 in words is "twelve million, four hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 317 380 412 515 634 1030 1268 1585 1957 2060 3170 3914 6023 6340 7828 9785 12046 19570 24092 30115 32651 39140 60230 65302 120460 130604 163255 326510 620369 653020 1240738 2481476 3101845 6203690 12407380