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540060672 = 21033153107
BaseRepresentation
bin100000001100001…
…010110000000000
31101122012220222010
4200030022300000
52101223420142
6125331212520
716245303624
oct4014126000
91348186863
10540060672
11257939638
12130a47140
1387b70438
1451a23184
153262ce9c
hex2030ac00

540060672 has 176 divisors, whose sum is σ = 1528077312. Its totient is φ = 169328640.

The previous prime is 540060629. The next prime is 540060683. The reversal of 540060672 is 276060045.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047243 + ... + 5047349.

Almost surely, 2540060672 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 540060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764038656).

540060672 is an abundant number, since it is smaller than the sum of its proper divisors (988016640).

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

540060672 is a wasteful number, since it uses less digits than its factorization.

540060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 540060672 is about 23239.2054941644. The cubic root of 540060672 is about 814.3557818263.

The spelling of 540060672 in words is "five hundred forty million, sixty thousand, six hundred seventy-two".