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130392820 = 225193111069
BaseRepresentation
bin1111100010110…
…10001011110100
3100002100122022201
413301122023310
5231340032240
620534434244
73142214665
oct761321364
9302318281
10130392820
1167670068
1237802984
132102551c
141346336c
15b6a9d9a
hex7c5a2f4

130392820 has 48 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 47813760.

The previous prime is 130392811. The next prime is 130392827. The reversal of 130392820 is 28293031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130392827) 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, 6246 + ... + 17314.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2130392820 is an apocalyptic number.

130392820 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 130392820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

130392820 is an abundant number, since it is smaller than the sum of its proper divisors (167168780).

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

130392820 is a wasteful number, since it uses less digits than its factorization.

130392820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128 (or 11126 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 130392820 is about 11418.9675540304. The cubic root of 130392820 is about 507.0894315018.

The spelling of 130392820 in words is "one hundred thirty million, three hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 11069 11780 22138 44276 55345 110690 210311 221380 343139 420622 686278 841244 1051555 1372556 1715695 2103110 3431390 4206220 6519641 6862780 13039282 26078564 32598205 65196410 130392820