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128631330 = 23251975223
BaseRepresentation
bin1111010101011…
…00001000100010
322222001011000100
413222230020202
5230412200310
620433003230
73121230312
oct752541042
9288034010
10128631330
1166677693
12370b3516
1320859819
1413125442
15b45cec0
hex7aac222

128631330 has 48 divisors (see below), whose sum is σ = 352048320. Its totient is φ = 32495904.

The previous prime is 128631319. The next prime is 128631331. The reversal of 128631330 is 33136821.

128631330 = T436 + T437 + ... + T948.

128631330 = 1932 + 1942 + ... + 7322.

It is a happy number.

128631330 is a `hidden beast` number, since 1 + 28 + 631 + 3 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 128631294 and 128631303.

It is not an unprimeable number, because it can be changed into a prime (128631331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35902 + ... + 39321.

It is an arithmetic number, because the mean of its divisors is an integer number (7334340).

Almost surely, 2128631330 is an apocalyptic number.

128631330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128631330 is an abundant number, since it is smaller than the sum of its proper divisors (223416990).

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

128631330 is a wasteful number, since it uses less digits than its factorization.

128631330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75255 (or 75252 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 128631330 is about 11341.5752874105. The cubic root of 128631330 is about 504.7956301428.

The spelling of 128631330 in words is "one hundred twenty-eight million, six hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 75223 150446 225669 376115 451338 677007 752230 1128345 1354014 1429237 2256690 2858474 3385035 4287711 6770070 7146185 8575422 12863133 14292370 21438555 25726266 42877110 64315665 128631330