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540974112 = 253742347
BaseRepresentation
bin100000001111101…
…001110000100000
31101200221022222020
4200033221300200
52101442132422
6125402541440
716256130000
oct4017516040
91350838866
10540974112
11258402948
12131207880
1388100133
1451bc0000
153275d95c
hex203e9c20

540974112 has 120 divisors (see below), whose sum is σ = 1657340496. Its totient is φ = 154498176.

The previous prime is 540974101. The next prime is 540974123. The reversal of 540974112 is 211479045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540974101) and next prime (540974123).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 229323 + ... + 231669.

Almost surely, 2540974112 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 540974112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828670248).

540974112 is an abundant number, since it is smaller than the sum of its proper divisors (1116366384).

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

540974112 is an equidigital number, since it uses as much as digits as its factorization.

540974112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 540974112 is about 23258.8501865419. The cubic root of 540974112 is about 814.8146476506.

The spelling of 540974112 in words is "five hundred forty million, nine hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2347 2352 2401 2744 4116 4694 4704 4802 5488 7041 7203 8232 9388 9604 10976 14082 14406 16429 16464 18776 19208 28164 28812 32858 32928 37552 38416 49287 56328 57624 65716 75104 76832 98574 112656 115003 115248 131432 197148 225312 230006 230496 262864 345009 394296 460012 525728 690018 788592 805021 920024 1380036 1577184 1610042 1840048 2415063 2760072 3220084 3680096 4830126 5520144 5635147 6440168 9660252 11040288 11270294 12880336 16905441 19320504 22540588 25760672 33810882 38641008 45081176 67621764 77282016 90162352 135243528 180324704 270487056 540974112