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3107327920 = 245434719219
BaseRepresentation
bin1011100100110110…
…0000111110110000
322000112222121120021
42321031200332300
522330433443140
61232200453224
7140000565034
oct27115407660
98015877507
103107327920
111355007504
1272877a214
133a69c2598
142169841c4
15132be4b4a
hexb9360fb0

3107327920 has 80 divisors (see below), whose sum is σ = 7550231040. Its totient is φ = 1188133632.

The previous prime is 3107327917. The next prime is 3107327921. The reversal of 3107327920 is 297237013.

3107327920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3107327921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152071 + ... + 171289.

It is an arithmetic number, because the mean of its divisors is an integer number (94377888).

Almost surely, 23107327920 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 3107327920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775115520).

3107327920 is an abundant number, since it is smaller than the sum of its proper divisors (4442903120).

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

3107327920 is a wasteful number, since it uses less digits than its factorization.

3107327920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 3107327920 is about 55743.4114492466. The cubic root of 3107327920 is about 1459.2477390691.

The spelling of 3107327920 in words is "three billion, one hundred seven million, three hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 47 80 86 94 172 188 215 235 344 376 430 470 688 752 860 940 1720 1880 2021 3440 3760 4042 8084 10105 16168 19219 20210 32336 38438 40420 76876 80840 96095 153752 161680 192190 307504 384380 768760 826417 903293 1537520 1652834 1806586 3305668 3613172 4132085 4516465 6611336 7226344 8264170 9032930 13222672 14452688 16528340 18065860 33056680 36131720 38841599 66113360 72263440 77683198 155366396 194207995 310732792 388415990 621465584 776831980 1553663960 3107327920