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130054400 = 285272903
BaseRepresentation
bin1111100000001…
…11100100000000
3100001201110002122
413300013210000
5231243220100
620523303412
73136305230
oct760074400
9301643078
10130054400
1167459883
123767ab68
1320c37488
14133b5cc0
15b63e985
hex7c07900

130054400 has 108 divisors (see below), whose sum is σ = 368018112. Its totient is φ = 44574720.

The previous prime is 130054381. The next prime is 130054409. The reversal of 130054400 is 4450031.

It is not an unprimeable number, because it can be changed into a prime (130054409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43349 + ... + 46251.

Almost surely, 2130054400 is an apocalyptic number.

130054400 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 130054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184009056).

130054400 is an abundant number, since it is smaller than the sum of its proper divisors (237963712).

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

130054400 is an equidigital number, since it uses as much as digits as its factorization.

130054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 130054400 is about 11404.1395992859. The cubic root of 130054400 is about 506.6503534298.

The spelling of 130054400 in words is "one hundred thirty million, fifty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 2903 3200 4480 5600 5806 6400 8960 11200 11612 14515 20321 22400 23224 29030 40642 44800 46448 58060 72575 81284 92896 101605 116120 145150 162568 185792 203210 232240 290300 325136 371584 406420 464480 508025 580600 650272 743168 812840 928960 1016050 1161200 1300544 1625680 1857920 2032100 2322400 2601088 3251360 3715840 4064200 4644800 5202176 6502720 8128400 9289600 13005440 16256800 18579200 26010880 32513600 65027200 130054400