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129472032 = 2538316249
BaseRepresentation
bin1111011011110…
…01011000100000
3100000121212020110
413231321120200
5231121101112
620503011320
73131331324
oct755713040
9300555213
10129472032
11670a1288
1237439b40
1320a92391
14132a3984
15b57713c
hex7b79620

129472032 has 48 divisors (see below), whose sum is σ = 343980000. Its totient is φ = 42634752.

The previous prime is 129472009. The next prime is 129472039. The reversal of 129472032 is 230274921.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (129472039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 16092.

It is an arithmetic number, because the mean of its divisors is an integer number (7166250).

Almost surely, 2129472032 is an apocalyptic number.

129472032 is a gapful number since it is divisible by the number (12) 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 129472032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990000).

129472032 is an abundant number, since it is smaller than the sum of its proper divisors (214507968).

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

129472032 is a wasteful number, since it uses less digits than its factorization.

129472032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16345 (or 16337 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 129472032 is about 11378.5777670146. The cubic root of 129472032 is about 505.8929819971.

The spelling of 129472032 in words is "one hundred twenty-nine million, four hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 16249 32498 48747 64996 97494 129992 194988 259984 389976 519968 779952 1348667 1559904 2697334 4046001 5394668 8092002 10789336 16184004 21578672 32368008 43157344 64736016 129472032