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129842440 = 23571335671
BaseRepresentation
bin1111011110100…
…11110100001000
3100001022200100021
413233103310020
5231214424230
620514550224
73134433250
oct757236410
9301280307
10129842440
1167324602
1237598374
1320b91b60
141335c960
15b5ebc7a
hex7bd3d08

129842440 has 64 divisors (see below), whose sum is σ = 359573760. Its totient is φ = 41091840.

The previous prime is 129842431. The next prime is 129842441. The reversal of 129842440 is 44248921.

It is a junction number, because it is equal to n+sod(n) for n = 129842396 and 129842405.

It is not an unprimeable number, because it can be changed into a prime (129842441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14196 + ... + 21475.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2129842440 is an apocalyptic number.

129842440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129842440 is an abundant number, since it is smaller than the sum of its proper divisors (229731320).

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

129842440 is a wasteful number, since it uses less digits than its factorization.

129842440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35702 (or 35698 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 129842440 is about 11394.8426930783. The cubic root of 129842440 is about 506.3749609729.

The spelling of 129842440 in words is "one hundred twenty-nine million, eight hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 35671 71342 142684 178355 249697 285368 356710 463723 499394 713420 927446 998788 1248485 1426840 1854892 1997576 2318615 2496970 3246061 3709784 4637230 4993940 6492122 9274460 9987880 12984244 16230305 18548920 25968488 32460610 64921220 129842440