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130828620 = 223513167729
BaseRepresentation
bin1111100110001…
…00100101001100
3100010011210010110
413303010211030
5231443003440
620552040020
73146011356
oct763044514
9303153113
10130828620
116793852a
1237993010
13211489b0
14135380d6
15b744080
hex7cc494c

130828620 has 48 divisors (see below), whose sum is σ = 394500960. Its totient is φ = 32203776.

The previous prime is 130828619. The next prime is 130828637. The reversal of 130828620 is 26828031.

It is a super-2 number, since 2×1308286202 = 34232255622208800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 83085 + ... + 84644.

It is an arithmetic number, because the mean of its divisors is an integer number (8218770).

Almost surely, 2130828620 is an apocalyptic number.

130828620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130828620 is an abundant number, since it is smaller than the sum of its proper divisors (263672340).

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

130828620 is a wasteful number, since it uses less digits than its factorization.

130828620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167754 (or 167752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 130828620 is about 11438.0339219640. The cubic root of 130828620 is about 507.6537361740.

The spelling of 130828620 in words is "one hundred thirty million, eight hundred twenty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 167729 335458 503187 670916 838645 1006374 1677290 2012748 2180477 2515935 3354580 4360954 5031870 6541431 8721908 10063740 10902385 13082862 21804770 26165724 32707155 43609540 65414310 130828620