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130410920 = 23523229619
BaseRepresentation
bin1111100010111…
…10100110101000
3100002101120011002
413301132212220
5231341122140
620535054132
73142321523
oct761364650
9302346132
10130410920
1167682722
1237811348
1321030833
1413469bba
15b6b0415
hex7c5e9a8

130410920 has 64 divisors (see below), whose sum is σ = 308016000. Its totient is φ = 49598208.

The previous prime is 130410919. The next prime is 130410949. The reversal of 130410920 is 29014031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130410892 and 130410901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210371 + ... + 210989.

It is an arithmetic number, because the mean of its divisors is an integer number (4812750).

Almost surely, 2130410920 is an apocalyptic number.

130410920 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 130410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154008000).

130410920 is an abundant number, since it is smaller than the sum of its proper divisors (177605080).

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

130410920 is a wasteful number, since it uses less digits than its factorization.

130410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 130410920 is about 11419.7600675321. The cubic root of 130410920 is about 507.1128936681.

Adding to 130410920 its reverse (29014031), we get a palindrome (159424951).

The spelling of 130410920 in words is "one hundred thirty million, four hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 229 230 458 460 619 916 920 1145 1238 1832 2290 2476 3095 4580 4952 5267 6190 9160 10534 12380 14237 21068 24760 26335 28474 42136 52670 56948 71185 105340 113896 141751 142370 210680 283502 284740 567004 569480 708755 1134008 1417510 2835020 3260273 5670040 6520546 13041092 16301365 26082184 32602730 65205460 130410920