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130372000 = 2553112963
BaseRepresentation
bin1111100010101…
…01000110100000
3100002022120202121
413301111012200
5231333401000
620534154024
73142100203
oct761250640
9302276677
10130372000
1167656460
12377b2914
1321018bc5
141345993a
15b6a3b1a
hex7c551a0

130372000 has 96 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 47392000.

The previous prime is 130371991. The next prime is 130372007. The reversal of 130372000 is 273031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130372007) 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, 42519 + ... + 45481.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2130372000 is an apocalyptic number.

130372000 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 130372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

130372000 is an abundant number, since it is smaller than the sum of its proper divisors (219190304).

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

130372000 is a wasteful number, since it uses less digits than its factorization.

130372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 130372000 is about 11418.0558765492. The cubic root of 130372000 is about 507.0624408441.

The spelling of 130372000 in words is "one hundred thirty million, three hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 2963 4000 4400 5500 5926 8800 11000 11852 14815 22000 23704 29630 32593 44000 47408 59260 65186 74075 94816 118520 130372 148150 162965 237040 260744 296300 325930 370375 474080 521488 592600 651860 740750 814825 1042976 1185200 1303720 1481500 1629650 2370400 2607440 2963000 3259300 4074125 5214880 5926000 6518600 8148250 11852000 13037200 16296500 26074400 32593000 65186000 130372000