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1139754680 = 235311635639
BaseRepresentation
bin100001111101111…
…0100011010111000
32221102122112111022
41003323310122320
54313234122210
6305032522012
740146516641
oct10373643270
92842575438
101139754680
115353a8619
12279850308
1315218c96c
14ab52a6c8
156a0da155
hex43ef46b8

1139754680 has 64 divisors (see below), whose sum is σ = 2663884800. Its totient is φ = 438410880.

The previous prime is 1139754667. The next prime is 1139754713. The reversal of 1139754680 is 864579311.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 199301 + ... + 204939.

It is an arithmetic number, because the mean of its divisors is an integer number (41623200).

Almost surely, 21139754680 is an apocalyptic number.

1139754680 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 1139754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331942400).

1139754680 is an abundant number, since it is smaller than the sum of its proper divisors (1524130120).

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

1139754680 is a wasteful number, since it uses less digits than its factorization.

1139754680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 1139754680 is about 33760.2529611376. The cubic root of 1139754680 is about 1044.5689880992.

The spelling of 1139754680 in words is "one billion, one hundred thirty-nine million, seven hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 163 248 310 326 620 652 815 1240 1304 1630 3260 5053 5639 6520 10106 11278 20212 22556 25265 28195 40424 45112 50530 56390 101060 112780 174809 202120 225560 349618 699236 874045 919157 1398472 1748090 1838314 3496180 3676628 4595785 6992360 7353256 9191570 18383140 28493867 36766280 56987734 113975468 142469335 227950936 284938670 569877340 1139754680