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5640300360 = 2332515799793
BaseRepresentation
bin1010100000011000…
…00010011101001000
3112120002012221112100
411100030002131020
543022404102420
62331403113400
7256525522242
oct52014023510
915502187470
105640300360
112434891162
121114b12860
136bb6c7946
143b7139092
15230285190
hex150302748

5640300360 has 96 divisors (see below), whose sum is σ = 18447918840. Its totient is φ = 1494484992.

The previous prime is 5640300343. The next prime is 5640300383. The reversal of 5640300360 is 630030465.

It can be written as a sum of positive squares in 4 ways, for example, as 3796284996 + 1844015364 = 61614^2 + 42942^2 .

It is a super-2 number, since 2×56403003602 = 63625976302032259200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6624 + ... + 106416.

Almost surely, 25640300360 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 5640300360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9223959420).

5640300360 is an abundant number, since it is smaller than the sum of its proper divisors (12807618480).

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

5640300360 is a wasteful number, since it uses less digits than its factorization.

5640300360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99967 (or 99960 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5640300360 is about 75101.9331309121. The cubic root of 5640300360 is about 1780.0576886576.

The spelling of 5640300360 in words is "five billion, six hundred forty million, three hundred thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 99793 199586 299379 399172 498965 598758 798344 898137 997930 1197516 1496895 1796274 1995860 2395032 2993790 3592548 3991720 4490685 5987580 7185096 8981370 11975160 15667501 17962740 31335002 35925480 47002503 62670004 78337505 94005006 125340008 141007509 156675010 188010012 235012515 282015018 313350020 376020024 470025030 564030036 626700040 705037545 940050060 1128060072 1410075090 1880100120 2820150180 5640300360