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130920160 = 2557216699
BaseRepresentation
bin1111100110110…
…10111011100000
3100010100102200211
413303122323200
5232003421120
620554023504
73146542300
oct763327340
9303312624
10130920160
11679a0288
1237a17b94
132117b567
141355d600
15b76125a
hex7cdaee0

130920160 has 72 divisors (see below), whose sum is σ = 359818200. Its totient is φ = 44884224.

The previous prime is 130920149. The next prime is 130920173. The reversal of 130920160 is 61029031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510 + ... + 16189.

It is an arithmetic number, because the mean of its divisors is an integer number (4997475).

Almost surely, 2130920160 is an apocalyptic number.

130920160 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 130920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179909100).

130920160 is an abundant number, since it is smaller than the sum of its proper divisors (228898040).

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

130920160 is a wasteful number, since it uses less digits than its factorization.

130920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 130920160 is about 11442.0347840758. The cubic root of 130920160 is about 507.7721093271.

Adding to 130920160 its reverse (61029031), we get a palindrome (191949191).

The spelling of 130920160 in words is "one hundred thirty million, nine hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 16699 33398 66796 83495 116893 133592 166990 233786 267184 333980 467572 534368 584465 667960 818251 935144 1168930 1335920 1636502 1870288 2337860 2671840 3273004 3740576 4091255 4675720 6546008 8182510 9351440 13092016 16365020 18702880 26184032 32730040 65460080 130920160