Search a number
-
+
130360160 = 2557239487
BaseRepresentation
bin1111100010100…
…10001101100000
3100002021222112002
413301102031200
5231333011120
620534023132
73142020530
oct761221540
9302258462
10130360160
1167648577
12377a7aa8
13210136b8
14134554c0
15b6a0375
hex7c52360

130360160 has 96 divisors (see below), whose sum is σ = 354170880. Its totient is φ = 44416512.

The previous prime is 130360157. The next prime is 130360163. The reversal of 130360160 is 61063031.

It is an interprime number because it is at equal distance from previous prime (130360157) and next prime (130360163).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130360163) 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, 267437 + ... + 267923.

It is an arithmetic number, because the mean of its divisors is an integer number (3689280).

Almost surely, 2130360160 is an apocalyptic number.

130360160 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 130360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177085440).

130360160 is an abundant number, since it is smaller than the sum of its proper divisors (223810720).

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

130360160 is a wasteful number, since it uses less digits than its factorization.

130360160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 130360160 is about 11417.5373877207. The cubic root of 130360160 is about 507.0470904083.

The spelling of 130360160 in words is "one hundred thirty million, three hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 239 280 478 487 560 956 974 1120 1195 1673 1912 1948 2390 2435 3346 3409 3824 3896 4780 4870 6692 6818 7648 7792 8365 9560 9740 13384 13636 15584 16730 17045 19120 19480 26768 27272 33460 34090 38240 38960 53536 54544 66920 68180 77920 109088 116393 133840 136360 232786 267680 272720 465572 545440 581965 814751 931144 1163930 1629502 1862288 2327860 3259004 3724576 4073755 4655720 6518008 8147510 9311440 13036016 16295020 18622880 26072032 32590040 65180080 130360160