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130405680 = 2433560373
BaseRepresentation
bin1111100010111…
…01010100110000
3100002101021222000
413301131110300
5231340440210
620535014000
73142300326
oct761352460
9302337860
10130405680
1167679799
123780a300
132102b332
1413467d16
15b6adac0
hex7c5d530

130405680 has 80 divisors (see below), whose sum is σ = 449182560. Its totient is φ = 34774272.

The previous prime is 130405643. The next prime is 130405687. The reversal of 130405680 is 86504031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130405687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28027 + ... + 32346.

It is an arithmetic number, because the mean of its divisors is an integer number (5614782).

Almost surely, 2130405680 is an apocalyptic number.

130405680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130405680 is an abundant number, since it is smaller than the sum of its proper divisors (318776880).

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

130405680 is a wasteful number, since it uses less digits than its factorization.

130405680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60395 (or 60383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130405680 is about 11419.5306383406. The cubic root of 130405680 is about 507.1061015294.

The spelling of 130405680 in words is "one hundred thirty million, four hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 60373 120746 181119 241492 301865 362238 482984 543357 603730 724476 905595 965968 1086714 1207460 1448952 1630071 1811190 2173428 2414920 2716785 2897904 3260142 3622380 4346856 4829840 5433570 6520284 7244760 8150355 8693712 10867140 13040568 14489520 16300710 21734280 26081136 32601420 43468560 65202840 130405680