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6013939920 = 243525199833
BaseRepresentation
bin1011001100111010…
…10111000011010000
3120112010021210122120
411212131113003100
544304032034140
62432431334240
7302013434352
oct54635270320
916463253576
106013939920
11260679208a
1211ba081380
1374ac39a41
144109db0d2
15252e8d1d0
hex1667570d0

6013939920 has 80 divisors (see below), whose sum is σ = 18717676992. Its totient is φ = 1597312000.

The previous prime is 6013939913. The next prime is 6013939979. The reversal of 6013939920 is 299393106.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×60139399202 = 72334946722739212800, which contains 22 as substring.

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, 10324 + ... + 110156.

Almost surely, 26013939920 is an apocalyptic number.

6013939920 is a gapful number since it is divisible by the number (60) 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 6013939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9358838496).

6013939920 is an abundant number, since it is smaller than the sum of its proper divisors (12703737072).

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

6013939920 is a wasteful number, since it uses less digits than its factorization.

6013939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100100 (or 100094 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 6013939920 is about 77549.5965173256. The cubic root of 6013939920 is about 1818.5267552772.

The spelling of 6013939920 in words is "six billion, thirteen million, nine hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 10040 12048 15060 20080 30120 60240 99833 199666 299499 399332 499165 598998 798664 998330 1197996 1497495 1597328 1996660 2395992 2994990 3993320 4791984 5989980 7986640 11979960 23959920 25058083 50116166 75174249 100232332 125290415 150348498 200464664 250580830 300696996 375871245 400929328 501161660 601393992 751742490 1002323320 1202787984 1503484980 2004646640 3006969960 6013939920