Search a number
-
+
129758440 = 23574189127
BaseRepresentation
bin1111011101111…
…11010011101000
3100001011102010011
413232333103220
5231204232230
620513101304
73133633330
oct756772350
9301142104
10129758440
1167277489
1237557834
1320b62856
141333a0c0
15b5d1e2a
hex7bbf4e8

129758440 has 128 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 42577920.

The previous prime is 129758423. The next prime is 129758443. The reversal of 129758440 is 44857921.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 129758393 and 129758402.

It is not an unprimeable number, because it can be changed into a prime (129758443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021657 + ... + 1021783.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2129758440 is an apocalyptic number.

129758440 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 129758440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

129758440 is an abundant number, since it is smaller than the sum of its proper divisors (218606360).

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

129758440 is a wasteful number, since it uses less digits than its factorization.

129758440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 129758440 is about 11391.1562187515. The cubic root of 129758440 is about 506.2657396925.

The spelling of 129758440 in words is "one hundred twenty-nine million, seven hundred fifty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 89 127 140 164 178 205 254 280 287 328 356 410 445 508 574 623 635 712 820 889 890 1016 1148 1246 1270 1435 1640 1778 1780 2296 2492 2540 2870 3115 3556 3560 3649 4445 4984 5080 5207 5740 6230 7112 7298 8890 10414 11303 11480 12460 14596 17780 18245 20828 22606 24920 25543 26035 29192 35560 36449 36490 41656 45212 51086 52070 56515 72898 72980 79121 90424 102172 104140 113030 127715 145796 145960 158242 182245 204344 208280 226060 255430 291592 316484 364490 395605 452120 463423 510860 632968 728980 791210 926846 1021720 1457960 1582420 1853692 2317115 3164840 3243961 3707384 4634230 6487922 9268460 12975844 16219805 18536920 25951688 32439610 64879220 129758440