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130359808 = 29172881
BaseRepresentation
bin1111100010100…
…10001000000000
3100002021222001001
413301102020000
5231333003213
620534021344
73142016515
oct761221000
9302258031
10130359808
1167648287
12377a7854
13210134a7
141345530c
15b6a01dd
hex7c52200

130359808 has 60 divisors (see below), whose sum is σ = 277001802. Its totient is φ = 61276160.

The previous prime is 130359797. The next prime is 130359839. The reversal of 130359808 is 808953031.

It can be written as a sum of positive squares in 3 ways, for example, as 120824064 + 9535744 = 10992^2 + 3088^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147528 + ... + 148408.

Almost surely, 2130359808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138500901).

130359808 is an abundant number, since it is smaller than the sum of its proper divisors (146641994).

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

130359808 is an frugal number, since it uses more digits than its factorization.

130359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 130359808 is about 11417.5219728276. The cubic root of 130359808 is about 507.0466340297.

The spelling of 130359808 in words is "one hundred thirty million, three hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 881 1088 1156 1762 2176 2312 3524 4352 4624 7048 8704 9248 14096 14977 18496 28192 29954 36992 56384 59908 73984 112768 119816 147968 225536 239632 254609 451072 479264 509218 958528 1018436 1917056 2036872 3834112 4073744 7668224 8147488 16294976 32589952 65179904 130359808