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129973328 = 2431279107
BaseRepresentation
bin1111011111100…
…11110001010000
3100001120022212222
413233303301100
5231233121303
620521440212
73135516662
oct757636120
9301508788
10129973328
1167403981
1237640068
1320c095c4
1413394532
15b625938
hex7bf3c50

129973328 has 60 divisors (see below), whose sum is σ = 265965120. Its totient is φ = 61513920.

The previous prime is 129973309. The next prime is 129973351. The reversal of 129973328 is 823379921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1214651 + ... + 1214757.

It is an arithmetic number, because the mean of its divisors is an integer number (4432752).

Almost surely, 2129973328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129973328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132982560).

129973328 is an abundant number, since it is smaller than the sum of its proper divisors (135991792).

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

129973328 is a wasteful number, since it uses less digits than its factorization.

129973328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 129973328 is about 11400.5845464169. The cubic root of 129973328 is about 506.5450546845.

The spelling of 129973328 in words is "one hundred twenty-nine million, nine hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 79 107 124 158 214 248 316 428 496 632 856 961 1264 1712 1922 2449 3317 3844 4898 6634 7688 8453 9796 13268 15376 16906 19592 26536 33812 39184 53072 67624 75919 102827 135248 151838 205654 262043 303676 411308 524086 607352 822616 1048172 1214704 1645232 2096344 4192688 8123333 16246666 32493332 64986664 129973328