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3116046120 = 2335113476803
BaseRepresentation
bin1011100110111011…
…0001011100101000
322001011101112200120
42321232301130220
522340201433440
61233111403240
7140134645365
oct27156613450
98034345616
103116046120
111359a21630
1272b683520
133a8755895
14217bb346c
15133867dd0
hexb9bb1728

3116046120 has 128 divisors (see below), whose sum is σ = 10228861440. Its totient is φ = 753117440.

The previous prime is 3116046053. The next prime is 3116046133. The reversal of 3116046120 is 216406113.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 454639 + ... + 461441.

It is an arithmetic number, because the mean of its divisors is an integer number (79912980).

Almost surely, 23116046120 is an apocalyptic number.

3116046120 is a gapful number since it is divisible by the number (30) 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 3116046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114430720).

3116046120 is an abundant number, since it is smaller than the sum of its proper divisors (7112815320).

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

3116046120 is a wasteful number, since it uses less digits than its factorization.

3116046120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3116046120 is about 55821.5560514037. The cubic root of 3116046120 is about 1460.6111971555.

The spelling of 3116046120 in words is "three billion, one hundred sixteen million, forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 347 440 660 694 1041 1320 1388 1735 2082 2776 3470 3817 4164 5205 6803 6940 7634 8328 10410 11451 13606 13880 15268 19085 20409 20820 22902 27212 30536 34015 38170 40818 41640 45804 54424 57255 68030 74833 76340 81636 91608 102045 114510 136060 149666 152680 163272 204090 224499 229020 272120 299332 374165 408180 448998 458040 598664 748330 816360 897996 1122495 1496660 1795992 2244990 2360641 2993320 4489980 4721282 7081923 8979960 9442564 11803205 14163846 18885128 23606410 25967051 28327692 35409615 47212820 51934102 56655384 70819230 77901153 94425640 103868204 129835255 141638460 155802306 207736408 259670510 283276920 311604612 389505765 519341020 623209224 779011530 1038682040 1558023060 3116046120