Search a number
-
+
54864180 = 22325743543
BaseRepresentation
bin1101000101001…
…0100100110100
310211020101111200
43101102210310
5103021123210
65235532500
71234223610
oct321224464
9124211450
1054864180
1128a732a8
121645a130
13b49c417
147402340
154c3b0c0
hex3452934

54864180 has 72 divisors (see below), whose sum is σ = 190200192. Its totient is φ = 12540096.

The previous prime is 54864163. The next prime is 54864211. The reversal of 54864180 is 8146845.

54864180 is a `hidden beast` number, since 5 + 4 + 8 + 641 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20512 + ... + 23031.

Almost surely, 254864180 is an apocalyptic number.

It is an amenable number.

54864180 is an abundant number, since it is smaller than the sum of its proper divisors (135336012).

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

54864180 is a wasteful number, since it uses less digits than its factorization.

54864180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43565 (or 43560 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54864180 is about 7407.0358443847. The cubic root of 54864180 is about 379.9819474342.

The spelling of 54864180 in words is "fifty-four million, eight hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 43543 87086 130629 174172 217715 261258 304801 391887 435430 522516 609602 653145 783774 870860 914403 1219204 1306290 1524005 1567548 1828806 1959435 2612580 2743209 3048010 3657612 3918870 4572015 5486418 6096020 7837740 9144030 10972836 13716045 18288060 27432090 54864180