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540023460 = 223559791931
BaseRepresentation
bin100000001100000…
…001101010100100
31101122011000220220
4200030001222210
52101221222320
6125330324340
716245060264
oct4014015244
91348130826
10540023460
11257913689
12130a296b0
1387b59512
1451a137a4
1532621e40
hex20301aa4

540023460 has 96 divisors (see below), whose sum is σ = 1557964800. Its totient is φ = 139701120.

The previous prime is 540023459. The next prime is 540023461. The reversal of 540023460 is 64320045.

It is an interprime number because it is at equal distance from previous prime (540023459) and next prime (540023461).

It is a self number, because there is not a number n which added to its sum of digits gives 540023460.

It is not an unprimeable number, because it can be changed into a prime (540023461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278695 + ... + 280625.

It is an arithmetic number, because the mean of its divisors is an integer number (16228800).

Almost surely, 2540023460 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 540023460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778982400).

540023460 is an abundant number, since it is smaller than the sum of its proper divisors (1017941340).

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

540023460 is a wasteful number, since it uses less digits than its factorization.

540023460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 540023460 is about 23238.4048505916. The cubic root of 540023460 is about 814.3370774442.

The spelling of 540023460 in words is "five hundred forty million, twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 79 118 158 177 236 237 295 316 354 395 474 590 708 790 885 948 1180 1185 1580 1770 1931 2370 3540 3862 4661 4740 5793 7724 9322 9655 11586 13983 18644 19310 23172 23305 27966 28965 38620 46610 55932 57930 69915 93220 113929 115860 139830 152549 227858 279660 305098 341787 455716 457647 569645 610196 683574 762745 915294 1139290 1367148 1525490 1708935 1830588 2278580 2288235 3050980 3417870 4576470 6835740 9000391 9152940 18000782 27001173 36001564 45001955 54002346 90003910 108004692 135005865 180007820 270011730 540023460