Search a number
-
+
10830843320 = 2351135968567
BaseRepresentation
bin10100001011001000…
…11000110110111000
31000221211010211220012
422011210120312320
5134140143441240
64550422321052
7532253435453
oct120544306670
930854124805
1010830843320
114658801990
122123289188
131037b7c13b
1474a63a49a
15435cc8b65
hex285918db8

10830843320 has 64 divisors (see below), whose sum is σ = 26659238400. Its totient is φ = 3927460480.

The previous prime is 10830843307. The next prime is 10830843371. The reversal of 10830843320 is 2334803801.

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 15 ways as a sum of consecutive naturals, for example, 123677 + ... + 192243.

It is an arithmetic number, because the mean of its divisors is an integer number (416550600).

Almost surely, 210830843320 is an apocalyptic number.

10830843320 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 10830843320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329619200).

10830843320 is an abundant number, since it is smaller than the sum of its proper divisors (15828395080).

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

10830843320 is a wasteful number, since it uses less digits than its factorization.

10830843320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68948 (or 68944 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 10830843320 in words is "ten billion, eight hundred thirty million, eight hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 1436 1795 2872 3590 3949 7180 7898 14360 15796 19745 31592 39490 68567 78980 137134 157960 274268 342835 548536 685670 754237 1371340 1508474 2742680 3016948 3771185 6033896 7542370 15084740 24615553 30169480 49231106 98462212 123077765 196924424 246155530 270771083 492311060 541542166 984622120 1083084332 1353855415 2166168664 2707710830 5415421660 10830843320