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991309140 = 2232530717939
BaseRepresentation
bin111011000101100…
…010110101010100
32120002022201111100
4323011202311110
54012233343030
6242211110100
733364663053
oct7305426524
92502281440
10991309140
11469628258
12237ba2330
1312a4b6473
149592839a
155c066360
hex3b162d54

991309140 has 72 divisors (see below), whose sum is σ = 3016933920. Its totient is φ = 263473344.

The previous prime is 991309139. The next prime is 991309157. The reversal of 991309140 is 41903199.

991309140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9913091402 = 1965387622095079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 991309095 and 991309104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46291 + ... + 64229.

It is an arithmetic number, because the mean of its divisors is an integer number (41901860).

Almost surely, 2991309140 is an apocalyptic number.

991309140 is a gapful number since it is divisible by the number (90) 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 991309140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508466960).

991309140 is an abundant number, since it is smaller than the sum of its proper divisors (2025624780).

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

991309140 is a wasteful number, since it uses less digits than its factorization.

991309140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18261 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 991309140 is about 31485.0621724017. The cubic root of 991309140 is about 997.0946135714.

The spelling of 991309140 in words is "nine hundred ninety-one million, three hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 17939 18420 27630 35878 53817 55260 71756 89695 107634 161451 179390 215268 269085 322902 358780 538170 645804 807255 1076340 1614510 3229020 5507273 11014546 16521819 22029092 27536365 33043638 49565457 55072730 66087276 82609095 99130914 110145460 165218190 198261828 247827285 330436380 495654570 991309140