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130404576 = 2533736713
BaseRepresentation
bin1111100010111…
…01000011100000
3100002101020110010
413301131003200
5231340421301
620535004520
73142264161
oct761350340
9302336403
10130404576
1167678985
1237809740
132102a993
1413467768
15b6ad5d6
hex7c5d0e0

130404576 has 48 divisors (see below), whose sum is σ = 351573264. Its totient is φ = 42292224.

The previous prime is 130404557. The next prime is 130404577. The reversal of 130404576 is 675404031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130404577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14805 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (7324443).

Almost surely, 2130404576 is an apocalyptic number.

130404576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130404576 is an abundant number, since it is smaller than the sum of its proper divisors (221168688).

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

130404576 is a wasteful number, since it uses less digits than its factorization.

130404576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36763 (or 36755 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 130404576 is about 11419.4822999994. The cubic root of 130404576 is about 507.1046704907.

The spelling of 130404576 in words is "one hundred thirty million, four hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 36713 73426 110139 146852 220278 293704 440556 587408 881112 1174816 1358381 1762224 2716762 3524448 4075143 5433524 8150286 10867048 16300572 21734096 32601144 43468192 65202288 130404576