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130437400 = 23524115907
BaseRepresentation
bin1111100011001…
…01000100011000
3100002102220110211
413301211010120
5231342444100
620535420504
73142461652
oct761450430
9302386424
10130437400
11676a0605
1237824734
132103c8c2
14134756d2
15b6b81ba
hex7c65118

130437400 has 48 divisors (see below), whose sum is σ = 310683240. Its totient is φ = 50899200.

The previous prime is 130437371. The next prime is 130437407. The reversal of 130437400 is 4734031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130437407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247 + ... + 16153.

Almost surely, 2130437400 is an apocalyptic number.

130437400 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 130437400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155341620).

130437400 is an abundant number, since it is smaller than the sum of its proper divisors (180245840).

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

130437400 is a wasteful number, since it uses less digits than its factorization.

130437400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15964 (or 15955 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 130437400 is about 11420.9194025700. The cubic root of 130437400 is about 507.1472145175.

The spelling of 130437400 in words is "one hundred thirty million, four hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 15907 31814 63628 79535 127256 159070 318140 397675 636280 652187 795350 1304374 1590700 2608748 3181400 3260935 5217496 6521870 13043740 16304675 26087480 32609350 65218700 130437400