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129422440 = 2357563821
BaseRepresentation
bin1111011011011…
…01010001101000
3100000112100012201
413231231101220
5231113004230
620501545544
73131033620
oct755552150
9300470181
10129422440
1167067aa4
12374152b4
1320a75934
141328d880
15b5675ca
hex7b6d468

129422440 has 64 divisors (see below), whose sum is σ = 333797760. Its totient is φ = 44240640.

The previous prime is 129422437. The next prime is 129422441. The reversal of 129422440 is 44224921.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 129422399 and 129422408.

It is not an unprimeable number, because it can be changed into a prime (129422441) 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, 157230 + ... + 158050.

It is an arithmetic number, because the mean of its divisors is an integer number (5215590).

Almost surely, 2129422440 is an apocalyptic number.

129422440 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 129422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166898880).

129422440 is an abundant number, since it is smaller than the sum of its proper divisors (204375320).

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

129422440 is a wasteful number, since it uses less digits than its factorization.

129422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 129422440 is about 11376.3983755844. The cubic root of 129422440 is about 505.8283825922.

The spelling of 129422440 in words is "one hundred twenty-nine million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 563 821 1126 1642 2252 2815 3284 3941 4105 4504 5630 5747 6568 7882 8210 11260 11494 15764 16420 19705 22520 22988 28735 31528 32840 39410 45976 57470 78820 114940 157640 229880 462223 924446 1848892 2311115 3235561 3697784 4622230 6471122 9244460 12942244 16177805 18488920 25884488 32355610 64711220 129422440