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540155320 = 235413171039
BaseRepresentation
bin100000001100100…
…001110110111000
31101122101201210121
4200030201312320
52101234432240
6125333223024
716246146565
oct4014416670
91348351717
10540155320
112579a3761
12130a91a74
1387ba4543
1451a4986c
153264b04a
hex20321db8

540155320 has 64 divisors (see below), whose sum is σ = 1250121600. Its totient is φ = 209925120.

The previous prime is 540155309. The next prime is 540155323. The reversal of 540155320 is 23551045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540155323) 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, 519361 + ... + 520399.

It is an arithmetic number, because the mean of its divisors is an integer number (19533150).

Almost surely, 2540155320 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 540155320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625060800).

540155320 is an abundant number, since it is smaller than the sum of its proper divisors (709966280).

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

540155320 is a wasteful number, since it uses less digits than its factorization.

540155320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 540155320 is about 23241.2417912641. The cubic root of 540155320 is about 814.4033521875.

The spelling of 540155320 in words is "five hundred forty million, one hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 317 328 410 634 820 1039 1268 1585 1640 2078 2536 3170 4156 5195 6340 8312 10390 12680 12997 20780 25994 41560 42599 51988 64985 85198 103976 129970 170396 212995 259940 329363 340792 425990 519880 658726 851980 1317452 1646815 1703960 2634904 3293630 6587260 13174520 13503883 27007766 54015532 67519415 108031064 135038830 270077660 540155320