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540018972 = 223215000527
BaseRepresentation
bin100000001100000…
…000100100011100
31101122010210202200
4200030000210130
52101221101342
6125330251500
716245041223
oct4014004434
91348123680
10540018972
11257910279
12130a26b90
1387b5746c
1451a11cba
153262094c
hex2030091c

540018972 has 18 divisors (see below), whose sum is σ = 1365048048. Its totient is φ = 180006312.

The previous prime is 540018911. The next prime is 540018989. The reversal of 540018972 is 279810045.

540018972 is a `hidden beast` number, since 5 + 400 + 189 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15000527 = 540018972 / (5 + 4 + 0 + 0 + 1 + 8 + 9 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7500228 + ... + 7500299.

Almost surely, 2540018972 is an apocalyptic number.

It is an amenable number.

540018972 is an abundant number, since it is smaller than the sum of its proper divisors (825029076).

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

540018972 is a wasteful number, since it uses less digits than its factorization.

540018972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000537 (or 15000532 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 540018972 is about 23238.3082861038. The cubic root of 540018972 is about 814.3348215207.

The spelling of 540018972 in words is "five hundred forty million, eighteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 15000527 30001054 45001581 60002108 90003162 135004743 180006324 270009486 540018972