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645970128 = 243291074337
BaseRepresentation
bin100110100000001…
…011100011010000
31200000111200102120
4212200023203100
52310332021003
6144033214240
722002440556
oct4640134320
91600450376
10645970128
113016a6a11
12160401380
13a3aa295b
1461b11bd6
153ba9d853
hex2680b8d0

645970128 has 80 divisors (see below), whose sum is σ = 1742834880. Its totient is φ = 205907968.

The previous prime is 645970109. The next prime is 645970139. The reversal of 645970128 is 821079546.

It is a self number, because there is not a number n which added to its sum of digits gives 645970128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146776 + ... + 151112.

It is an arithmetic number, because the mean of its divisors is an integer number (21785436).

Almost surely, 2645970128 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 645970128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871417440).

645970128 is an abundant number, since it is smaller than the sum of its proper divisors (1096864752).

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

645970128 is a wasteful number, since it uses less digits than its factorization.

645970128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 645970128 is about 25415.9423984239. The cubic root of 645970128 is about 864.4452223534.

The spelling of 645970128 in words is "six hundred forty-five million, nine hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 4337 5136 6206 8674 9309 12412 13011 17348 18618 24824 26022 34696 37236 49648 52044 69392 74472 104088 125773 148944 208176 251546 377319 464059 503092 754638 928118 1006184 1392177 1509276 1856236 2012368 2784354 3018552 3712472 5568708 6037104 7424944 11137416 13457711 22274832 26915422 40373133 53830844 80746266 107661688 161492532 215323376 322985064 645970128