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130063800 = 23352239907
BaseRepresentation
bin1111100000010…
…01110110111000
3100001201220222210
413300021312320
5231244020200
620523415120
73136344516
oct760116670
9301656883
10130063800
1167465949
12376844a0
1320c3b839
14133b94b6
15b642650
hex7c09db8

130063800 has 96 divisors (see below), whose sum is σ = 405331200. Its totient is φ = 34500480.

The previous prime is 130063793. The next prime is 130063807. The reversal of 130063800 is 8360031.

It is an interprime number because it is at equal distance from previous prime (130063793) and next prime (130063807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130063807) 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, 142947 + ... + 143853.

It is an arithmetic number, because the mean of its divisors is an integer number (4222200).

Almost surely, 2130063800 is an apocalyptic number.

130063800 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 130063800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202665600).

130063800 is an abundant number, since it is smaller than the sum of its proper divisors (275267400).

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

130063800 is a wasteful number, since it uses less digits than its factorization.

130063800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130063800 is about 11404.5517228868. The cubic root of 130063800 is about 506.6625596004.

The spelling of 130063800 in words is "one hundred thirty million, sixty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 907 956 1195 1434 1814 1912 2390 2721 2868 3585 3628 4535 4780 5442 5736 5975 7170 7256 9070 9560 10884 11950 13605 14340 17925 18140 21768 22675 23900 27210 28680 35850 36280 45350 47800 54420 68025 71700 90700 108840 136050 143400 181400 216773 272100 433546 544200 650319 867092 1083865 1300638 1734184 2167730 2601276 3251595 4335460 5202552 5419325 6503190 8670920 10838650 13006380 16257975 21677300 26012760 32515950 43354600 65031900 130063800