Search a number
-
+
970272688 = 247111746327
BaseRepresentation
bin111001110101010…
…010111110110000
32111121201221220111
4321311102332300
53441342211223
6240140151104
733021116230
oct7165227660
92447657814
10970272688
1145876a260
12230b38494
1312602c368
1492c0dcc0
155a2ad30d
hex39d52fb0

970272688 has 80 divisors (see below), whose sum is σ = 2481698304. Its totient is φ = 355783680.

The previous prime is 970272679. The next prime is 970272703. The reversal of 970272688 is 886272079.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2220 + ... + 44107.

Almost surely, 2970272688 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 970272688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240849152).

970272688 is an abundant number, since it is smaller than the sum of its proper divisors (1511425616).

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

970272688 is a wasteful number, since it uses less digits than its factorization.

970272688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46370 (or 46364 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 970272688 is about 31149.2004391766. The cubic root of 970272688 is about 989.9910511724.

The spelling of 970272688 in words is "nine hundred seventy million, two hundred seventy-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944 46327 92654 185308 324289 370616 509597 648578 741232 787559 1019194 1297156 1575118 2038388 2594312 3150236 3567179 4076776 5188624 5512913 6300472 7134358 8153552 8663149 11025826 12600944 14268716 17326298 22051652 28537432 34652596 44103304 57074864 60642043 69305192 88206608 121284086 138610384 242568172 485136344 970272688