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130404000 = 2535310867
BaseRepresentation
bin1111100010111…
…00111010100000
3100002101012122210
413301130322200
5231340412000
620535002120
73142262406
oct761347240
9302335583
10130404000
1167678501
1237809340
132102a63c
1413467476
15b6ad350
hex7c5cea0

130404000 has 96 divisors (see below), whose sum is σ = 427242816. Its totient is φ = 34771200.

The previous prime is 130403971. The next prime is 130404017. The reversal of 130404000 is 404031.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 6567 + ... + 17433.

It is an arithmetic number, because the mean of its divisors is an integer number (4450446).

Almost surely, 2130404000 is an apocalyptic number.

130404000 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 130404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213621408).

130404000 is an abundant number, since it is smaller than the sum of its proper divisors (296838816).

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

130404000 is a wasteful number, since it uses less digits than its factorization.

130404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10877 counting only the distinct ones).

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

The square root of 130404000 is about 11419.4570799141. The cubic root of 130404000 is about 507.1039238586.

Adding to 130404000 its reverse (404031), we get a palindrome (130808031).

The spelling of 130404000 in words is "one hundred thirty million, four hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 10867 12000 21734 32601 43468 54335 65202 86936 108670 130404 163005 173872 217340 260808 271675 326010 347744 434680 521616 543350 652020 815025 869360 1043232 1086700 1304040 1358375 1630050 1738720 2173400 2608080 2716750 3260100 4075125 4346800 5216160 5433500 6520200 8150250 8693600 10867000 13040400 16300500 21734000 26080800 32601000 43468000 65202000 130404000