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129375440 = 24517251379
BaseRepresentation
bin1111011011000…
…01110011010000
3100000102221201222
413231201303100
5231110003230
620500544212
73130446605
oct755416320
9300387658
10129375440
1167035757
12373b2068
1320a5a41c
141327a6ac
15b5586e5
hex7b61cd0

129375440 has 80 divisors (see below), whose sum is σ = 320604480. Its totient is φ = 48384000.

The previous prime is 129375413. The next prime is 129375481. The reversal of 129375440 is 44573921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129375440.

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, 341171 + ... + 341549.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2129375440 is an apocalyptic number.

129375440 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 129375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

129375440 is an abundant number, since it is smaller than the sum of its proper divisors (191229040).

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

129375440 is a wasteful number, since it uses less digits than its factorization.

129375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 129375440 is about 11374.3325078881. The cubic root of 129375440 is about 505.7671443391.

The spelling of 129375440 in words is "one hundred twenty-nine million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 251 272 340 379 502 680 758 1004 1255 1360 1516 1895 2008 2510 3032 3790 4016 4267 5020 6064 6443 7580 8534 10040 12886 15160 17068 20080 21335 25772 30320 32215 34136 42670 51544 64430 68272 85340 95129 103088 128860 170680 190258 257720 341360 380516 475645 515440 761032 951290 1522064 1617193 1902580 3234386 3805160 6468772 7610320 8085965 12937544 16171930 25875088 32343860 64687720 129375440