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540172512 = 253211170509
BaseRepresentation
bin100000001100100…
…110000011100000
31101122102121101100
4200030212003200
52101241010022
6125333434400
716246250655
oct4014460340
91348377340
10540172512
11257a05670
12130a9ba00
1387bac309
1451a51c2c
15326511ac
hex203260e0

540172512 has 72 divisors (see below), whose sum is σ = 1675772280. Its totient is φ = 163687680.

The previous prime is 540172511. The next prime is 540172519. The reversal of 540172512 is 215271045.

540172512 is a `hidden beast` number, since 5 + 401 + 7 + 251 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540172511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82087 + ... + 88422.

It is an arithmetic number, because the mean of its divisors is an integer number (23274615).

Almost surely, 2540172512 is an apocalyptic number.

It is an amenable number.

540172512 is an abundant number, since it is smaller than the sum of its proper divisors (1135599768).

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

540172512 is a wasteful number, since it uses less digits than its factorization.

540172512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170536 (or 170525 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 540172512 is about 23241.6116480764. The cubic root of 540172512 is about 814.4119923405.

The spelling of 540172512 in words is "five hundred forty million, one hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 170509 341018 511527 682036 1023054 1364072 1534581 1875599 2046108 2728144 3069162 3751198 4092216 5456288 5626797 6138324 7502396 8184432 11253594 12276648 15004792 16368864 16880391 22507188 24553296 30009584 33760782 45014376 49106592 60019168 67521564 90028752 135043128 180057504 270086256 540172512