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116960520 = 233523311367
BaseRepresentation
bin1101111100010…
…10110100001000
322011002012200010
412332022310020
5214420214040
615334511520
72620101525
oct676126410
9264065603
10116960520
1160026196
12332055a0
131b301611
141176814c
15a404e80
hex6f8ad08

116960520 has 128 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 28849920.

The previous prime is 116960483. The next prime is 116960533. The reversal of 116960520 is 25069611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84877 + ... + 86243.

It is an arithmetic number, because the mean of its divisors is an integer number (2954880).

Almost surely, 2116960520 is an apocalyptic number.

116960520 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 116960520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

116960520 is an abundant number, since it is smaller than the sum of its proper divisors (261264120).

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

116960520 is a wasteful number, since it uses less digits than its factorization.

116960520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 116960520 is about 10814.8287087683. The cubic root of 116960520 is about 489.0423054637.

The spelling of 116960520 in words is "one hundred sixteen million, nine hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 31 40 46 60 62 69 92 93 115 120 124 138 155 184 186 230 248 276 310 345 372 460 465 552 620 690 713 744 920 930 1240 1367 1380 1426 1860 2139 2734 2760 2852 3565 3720 4101 4278 5468 5704 6835 7130 8202 8556 10695 10936 13670 14260 16404 17112 20505 21390 27340 28520 31441 32808 41010 42377 42780 54680 62882 82020 84754 85560 94323 125764 127131 157205 164040 169508 188646 211885 251528 254262 314410 339016 377292 423770 471615 508524 628820 635655 754584 847540 943230 974671 1017048 1257640 1271310 1695080 1886460 1949342 2542620 2924013 3772920 3898684 4873355 5085240 5848026 7797368 9746710 11696052 14620065 19493420 23392104 29240130 38986840 58480260 116960520