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129540 = 223517127
BaseRepresentation
bin11111101000000100
320120200210
4133220010
513121130
62435420
71046445
oct375004
9216623
10129540
1189364
1262b70
1346c68
14352cc
15285b0
hex1fa04

129540 has 48 divisors (see below), whose sum is σ = 387072. Its totient is φ = 32256.

The previous prime is 129539. The next prime is 129553. The reversal of 129540 is 45921.

It is a super-2 number, since 2×1295402 = 33561223200, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

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, 957 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2129540 is an apocalyptic number.

129540 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 129540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

129540 is an abundant number, since it is smaller than the sum of its proper divisors (257532).

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

129540 is a wasteful number, since it uses less digits than its factorization.

129540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 129540 is about 359.9166570194. The cubic root of 129540 is about 50.5981491509.

The spelling of 129540 in words is "one hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 127 170 204 254 255 340 381 508 510 635 762 1020 1270 1524 1905 2159 2540 3810 4318 6477 7620 8636 10795 12954 21590 25908 32385 43180 64770 129540