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27240031960 = 2353722218287
BaseRepresentation
bin11001010111101000…
…011110011011011000
32121022101220222222121
4121113220132123120
5421241422010320
620303000231024
71653014310541
oct312750363330
977271828877
1027240031960
1110609319209
12534276b474
13275164310b
141465a854c8
15a9669a8aa
hex657a1e6d8

27240031960 has 64 divisors (see below), whose sum is σ = 62982501120. Its totient is φ = 10595473920.

The previous prime is 27240031937. The next prime is 27240031969. The reversal of 27240031960 is 6913004272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27240031969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3282937 + ... + 3291223.

It is an arithmetic number, because the mean of its divisors is an integer number (984101580).

Almost surely, 227240031960 is an apocalyptic number.

27240031960 is a gapful number since it is divisible by the number (20) 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 27240031960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31491250560).

27240031960 is an abundant number, since it is smaller than the sum of its proper divisors (35742469160).

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

27240031960 is a wasteful number, since it uses less digits than its factorization.

27240031960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 27240031960 in words is "twenty-seven billion, two hundred forty million, thirty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2221 4442 8287 8884 11105 16574 17768 22210 33148 41435 44420 66296 82177 82870 88840 164354 165740 306619 328708 331480 410885 613238 657416 821770 1226476 1533095 1643540 2452952 3066190 3287080 6132380 12264760 18405427 36810854 73621708 92027135 147243416 184054270 368108540 681000799 736217080 1362001598 2724003196 3405003995 5448006392 6810007990 13620015980 27240031960