Search a number
-
+
129133296 = 24326411399
BaseRepresentation
bin1111011001001…
…10101011110000
322222222122120200
413230212223300
5231024231141
620451435200
73125420625
oct754465360
9288878520
10129133296
116698a836
12372b5b00
13209a4146
141321634c
15b50bab6
hex7b26af0

129133296 has 60 divisors (see below), whose sum is σ = 362216400. Its totient is φ = 42946560.

The previous prime is 129133283. The next prime is 129133297. The reversal of 129133296 is 692331921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129133296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129133297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91605 + ... + 93003.

It is an arithmetic number, because the mean of its divisors is an integer number (6036940).

Almost surely, 2129133296 is an apocalyptic number.

129133296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

129133296 is an abundant number, since it is smaller than the sum of its proper divisors (233083104).

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

129133296 is a wasteful number, since it uses less digits than its factorization.

129133296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2045 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 129133296 is about 11363.6832057216. The cubic root of 129133296 is about 505.4514095945.

The spelling of 129133296 in words is "one hundred twenty-nine million, one hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 641 1282 1399 1923 2564 2798 3846 4197 5128 5596 5769 7692 8394 10256 11192 11538 12591 15384 16788 22384 23076 25182 30768 33576 46152 50364 67152 92304 100728 201456 896759 1793518 2690277 3587036 5380554 7174072 8070831 10761108 14348144 16141662 21522216 32283324 43044432 64566648 129133296