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130627000 = 2353718661
BaseRepresentation
bin1111100100100…
…11010110111000
3100002210112120001
413302103112320
5231420031000
620543442344
73144211510
oct762232670
9302715501
10130627000
116780aaa9
12378b63b4
13210a7caa
14134c4840
15b70446a
hex7c935b8

130627000 has 64 divisors (see below), whose sum is σ = 349352640. Its totient is φ = 44784000.

The previous prime is 130626989. The next prime is 130627009. The reversal of 130627000 is 726031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130627009) 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, 2331 + ... + 16330.

It is an arithmetic number, because the mean of its divisors is an integer number (5458635).

Almost surely, 2130627000 is an apocalyptic number.

130627000 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 130627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174676320).

130627000 is an abundant number, since it is smaller than the sum of its proper divisors (218725640).

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

130627000 is a wasteful number, since it uses less digits than its factorization.

130627000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18689 (or 18675 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 130627000 is about 11429.2169460554. The cubic root of 130627000 is about 507.3928203535.

The spelling of 130627000 in words is "one hundred thirty million, six hundred twenty-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 18661 37322 74644 93305 130627 149288 186610 261254 373220 466525 522508 653135 746440 933050 1045016 1306270 1866100 2332625 2612540 3265675 3732200 4665250 5225080 6531350 9330500 13062700 16328375 18661000 26125400 32656750 65313500 130627000