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1071230960 = 245711131669
BaseRepresentation
bin111111110110011…
…010111111110000
32202122201011121202
4333312122333300
54143213342320
6254144110332
735355212222
oct7766327760
92678634552
101071230960
114aa755748
1225a9053a8
13140c1a097
14a23b0412
15640a1b75
hex3fd9aff0

1071230960 has 80 divisors (see below), whose sum is σ = 2549568960. Its totient is φ = 418467840.

The previous prime is 1071230959. The next prime is 1071230969. The reversal of 1071230960 is 690321701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10712309602 = 2295071539325043200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071230969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641006 + ... + 642674.

It is an arithmetic number, because the mean of its divisors is an integer number (31869612).

Almost surely, 21071230960 is an apocalyptic number.

1071230960 is a gapful number since it is divisible by the number (10) 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 1071230960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274784480).

1071230960 is an abundant number, since it is smaller than the sum of its proper divisors (1478338000).

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

1071230960 is a wasteful number, since it uses less digits than its factorization.

1071230960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 1071230960 is about 32729.6648317700. The cubic root of 1071230960 is about 1023.2011948580.

The spelling of 1071230960 in words is "one billion, seventy-one million, two hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 113 142 226 284 355 452 565 568 710 904 1130 1136 1420 1669 1808 2260 2840 3338 4520 5680 6676 8023 8345 9040 13352 16046 16690 26704 32092 33380 40115 64184 66760 80230 118499 128368 133520 160460 188597 236998 320920 377194 473996 592495 641840 754388 942985 947992 1184990 1508776 1885970 1895984 2369980 3017552 3771940 4739960 7543880 9479920 13390387 15087760 26780774 53561548 66951935 107123096 133903870 214246192 267807740 535615480 1071230960