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540164148 = 2231913717293
BaseRepresentation
bin100000001100100…
…100000000110100
31101122102011220120
4200030210000310
52101240223043
6125333331540
716246214406
oct4014440064
91348364816
10540164148
112579aa357
12130a96bb0
1387ba8574
1451a4cb76
153264d983
hex20324034

540164148 has 48 divisors (see below), whose sum is σ = 1336480320. Its totient is φ = 169323264.

The previous prime is 540164101. The next prime is 540164153. The reversal of 540164148 is 841461045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22590 + ... + 39882.

It is an arithmetic number, because the mean of its divisors is an integer number (27843340).

Almost surely, 2540164148 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 540164148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668240160).

540164148 is an abundant number, since it is smaller than the sum of its proper divisors (796316172).

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

540164148 is a wasteful number, since it uses less digits than its factorization.

540164148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17456 (or 17454 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 540164148 is about 23241.4317114932. The cubic root of 540164148 is about 814.4077888828.

The spelling of 540164148 in words is "five hundred forty million, one hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2603 5206 7809 10412 15618 17293 31236 34586 51879 69172 103758 207516 328567 657134 985701 1314268 1971402 2369141 3942804 4738282 7107423 9476564 14214846 28429692 45013679 90027358 135041037 180054716 270082074 540164148