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540869760 = 2732593901
BaseRepresentation
bin100000001111010…
…000010010000000
31101200202000211100
4200033100102000
52101430313020
6125400414400
716255213524
oct4017202200
91350660740
10540869760
11258341502
12131177400
13880947a2
1451b93d84
153273ca90
hex203d0480

540869760 has 96 divisors (see below), whose sum is σ = 1867710780. Its totient is φ = 144230400.

The previous prime is 540869753. The next prime is 540869809. The reversal of 540869760 is 67968045.

It can be written as a sum of positive squares in 2 ways, for example, as 540841536 + 28224 = 23256^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41191 + ... + 52710.

Almost surely, 2540869760 is an apocalyptic number.

It is an amenable number.

540869760 is an abundant number, since it is smaller than the sum of its proper divisors (1326841020).

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

540869760 is a wasteful number, since it uses less digits than its factorization.

540869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93926 (or 93911 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 540869760 is about 23256.6068032291. The cubic root of 540869760 is about 814.7622526567.

The spelling of 540869760 in words is "five hundred forty million, eight hundred sixty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 93901 187802 281703 375604 469505 563406 751208 845109 939010 1126812 1408515 1502416 1690218 1878020 2253624 2817030 3004832 3380436 3756040 4225545 4507248 5634060 6009664 6760872 7512080 8451090 9014496 11268120 12019328 13521744 15024160 16902180 18028992 22536240 27043488 30048320 33804360 36057984 45072480 54086976 60096640 67608720 90144960 108173952 135217440 180289920 270434880 540869760