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130400380 = 225114571297
BaseRepresentation
bin1111100010111…
…00000001111100
3100002101000200201
413301130001330
5231340303010
620534533244
73142246015
oct761340174
9302330621
10130400380
1167675810
1237807224
1321028ab6
141346600c
15b6ac23a
hex7c5c07c

130400380 has 48 divisors (see below), whose sum is σ = 299619936. Its totient is φ = 47278080.

The previous prime is 130400357. The next prime is 130400383. The reversal of 130400380 is 83004031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130400383) 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, 99892 + ... + 101188.

It is an arithmetic number, because the mean of its divisors is an integer number (6242082).

Almost surely, 2130400380 is an apocalyptic number.

130400380 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 130400380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149809968).

130400380 is an abundant number, since it is smaller than the sum of its proper divisors (169219556).

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

130400380 is a wasteful number, since it uses less digits than its factorization.

130400380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 130400380 is about 11419.2985774083. The cubic root of 130400380 is about 507.0992314331.

The spelling of 130400380 in words is "one hundred thirty million, four hundred thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1297 1828 2285 2594 4570 5027 5188 6485 9140 10054 12970 14267 20108 25135 25940 28534 50270 57068 71335 100540 142670 285340 592729 1185458 2370916 2963645 5927290 6520019 11854580 13040038 26080076 32600095 65200190 130400380