Search a number
-
+
130195600 = 24521937463
BaseRepresentation
bin1111100001010…
…10000010010000
3100001222121210021
413300222002100
5231312224400
620530313224
73140434003
oct760520220
9301877707
10130195600
1167545977
1237728814
1320c86822
141341153a
15b66b71a
hex7c2a090

130195600 has 120 divisors (see below), whose sum is σ = 338887040. Its totient is φ = 47900160.

The previous prime is 130195579. The next prime is 130195603. The reversal of 130195600 is 6591031.

130195600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130195603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280969 + ... + 281431.

Almost surely, 2130195600 is an apocalyptic number.

130195600 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 130195600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169443520).

130195600 is an abundant number, since it is smaller than the sum of its proper divisors (208691440).

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

130195600 is a wasteful number, since it uses less digits than its factorization.

130195600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 130195600 is about 11410.3286543377. The cubic root of 130195600 is about 506.8336437954.

The spelling of 130195600 in words is "one hundred thirty million, one hundred ninety-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 37 38 40 50 74 76 80 95 100 148 152 185 190 200 296 304 370 380 400 463 475 592 703 740 760 925 926 950 1406 1480 1520 1850 1852 1900 2315 2812 2960 3515 3700 3704 3800 4630 5624 7030 7400 7408 7600 8797 9260 11248 11575 14060 14800 17131 17575 17594 18520 23150 28120 34262 35150 35188 37040 43985 46300 56240 68524 70300 70376 85655 87970 92600 137048 140600 140752 171310 175940 185200 219925 274096 281200 325489 342620 351880 428275 439850 650978 685240 703760 856550 879700 1301956 1370480 1627445 1713100 1759400 2603912 3254890 3426200 3518800 5207824 6509780 6852400 8137225 13019560 16274450 26039120 32548900 65097800 130195600