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130440200 = 235211211281
BaseRepresentation
bin1111100011001…
…01110000001000
3100002110001022112
413301211300020
5231343041300
620535441452
73142503062
oct761456010
9302401275
10130440200
11676a2720
1237826288
1321040c67
1413476732
15b6b8e35
hex7c65c08

130440200 has 96 divisors (see below), whose sum is σ = 333594720. Its totient is φ = 47040000.

The previous prime is 130440197. The next prime is 130440217. The reversal of 130440200 is 2044031.

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, 464060 + ... + 464340.

It is an arithmetic number, because the mean of its divisors is an integer number (3474945).

Almost surely, 2130440200 is an apocalyptic number.

130440200 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 130440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166797360).

130440200 is an abundant number, since it is smaller than the sum of its proper divisors (203154520).

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

130440200 is a wasteful number, since it uses less digits than its factorization.

130440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130440200 is about 11421.0419839873. The cubic root of 130440200 is about 507.1508433388.

Adding to 130440200 its reverse (2044031), we get a palindrome (132484231).

The spelling of 130440200 in words is "one hundred thirty million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 211 220 275 281 422 440 550 562 844 1055 1100 1124 1405 1688 2110 2200 2248 2321 2810 3091 4220 4642 5275 5620 6182 7025 8440 9284 10550 11240 11605 12364 14050 15455 18568 21100 23210 24728 28100 30910 42200 46420 56200 58025 59291 61820 77275 92840 116050 118582 123640 154550 232100 237164 296455 309100 464200 474328 592910 618200 652201 1185820 1304402 1482275 2371640 2608804 2964550 3261005 5217608 5929100 6522010 11858200 13044020 16305025 26088040 32610050 65220100 130440200