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540068868 = 223261331743
BaseRepresentation
bin100000001100001…
…100110000000100
31101122020100012200
4200030030300010
52101224200433
6125331314500
716245336543
oct4014146004
91348210180
10540068868
11257944809
12130a4ba30
1387b740a1
1451a2615a
1532630613
hex2030cc04

540068868 has 72 divisors (see below), whose sum is σ = 1393619136. Its totient is φ = 176299200.

The previous prime is 540068857. The next prime is 540068891. The reversal of 540068868 is 868860045.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726505 + ... + 727247.

Almost surely, 2540068868 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 540068868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696809568).

540068868 is an abundant number, since it is smaller than the sum of its proper divisors (853550268).

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

540068868 is a wasteful number, since it uses less digits than its factorization.

540068868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 540068868 is about 23239.3818334309. The cubic root of 540068868 is about 814.3599013796.

The spelling of 540068868 in words is "five hundred forty million, sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 331 366 549 662 732 743 993 1098 1324 1486 1986 2196 2229 2972 2979 3972 4458 5958 6687 8916 11916 13374 20191 26748 40382 45323 60573 80764 90646 121146 135969 181292 181719 242292 245933 271938 363438 407907 491866 543876 726876 737799 815814 983732 1475598 1631628 2213397 2951196 4426794 8853588 15001913 30003826 45005739 60007652 90011478 135017217 180022956 270034434 540068868