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3061312520 = 235719954941
BaseRepresentation
bin1011011001110111…
…1110110000001000
321220100101210022012
42312131332300020
522232144000040
61223434315052
7135601504250
oct26635766010
97810353265
103061312520
111331038452
12715288a88
1339a300a36
14210806960
1512db55865
hexb677ec08

3061312520 has 64 divisors (see below), whose sum is σ = 7911648000. Its totient is φ = 1044299520.

The previous prime is 3061312487. The next prime is 3061312613. The reversal of 3061312520 is 252131603.

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, 28250 + ... + 83190.

It is an arithmetic number, because the mean of its divisors is an integer number (123619500).

Almost surely, 23061312520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3061312520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955824000).

3061312520 is an abundant number, since it is smaller than the sum of its proper divisors (4850335480).

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

3061312520 is a wasteful number, since it uses less digits than its factorization.

3061312520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55158 (or 55154 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3061312520 is about 55329.1290370633. The cubic root of 3061312520 is about 1452.0087134286.

The spelling of 3061312520 in words is "three billion, sixty-one million, three hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 11144 13930 27860 54941 55720 109882 219764 274705 384587 439528 549410 769174 1098820 1538348 1922935 2197640 3076696 3845870 7691740 10933259 15383480 21866518 43733036 54666295 76532813 87466072 109332590 153065626 218665180 306131252 382664065 437330360 612262504 765328130 1530656260 3061312520