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130240200 = 233521311657
BaseRepresentation
bin1111100001101…
…00111011001000
3100002001212222010
413300310323020
5231320141300
620531255520
73141011016
oct760647310
9302055863
10130240200
1167576432
123774a5a0
1320ca0c0c
14134238b6
15b679a50
hex7c34ec8

130240200 has 96 divisors (see below), whose sum is σ = 407072160. Its totient is φ = 34444800.

The previous prime is 130240183. The next prime is 130240219. The reversal of 130240200 is 2042031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77772 + ... + 79428.

It is an arithmetic number, because the mean of its divisors is an integer number (4240335).

Almost surely, 2130240200 is an apocalyptic number.

130240200 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 130240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203536080).

130240200 is an abundant number, since it is smaller than the sum of its proper divisors (276831960).

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

130240200 is a wasteful number, since it uses less digits than its factorization.

130240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 130240200 is about 11412.2828566418. The cubic root of 130240200 is about 506.8915110859.

Adding to 130240200 its reverse (2042031), we get a palindrome (132282231).

The spelling of 130240200 in words is "one hundred thirty million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 131 150 200 262 300 393 524 600 655 786 1048 1310 1572 1657 1965 2620 3144 3275 3314 3930 4971 5240 6550 6628 7860 8285 9825 9942 13100 13256 15720 16570 19650 19884 24855 26200 33140 39300 39768 41425 49710 66280 78600 82850 99420 124275 165700 198840 217067 248550 331400 434134 497100 651201 868268 994200 1085335 1302402 1736536 2170670 2604804 3256005 4341340 5209608 5426675 6512010 8682680 10853350 13024020 16280025 21706700 26048040 32560050 43413400 65120100 130240200