Search a number
-
+
546564420 = 2232519315733
BaseRepresentation
bin100000100100111…
…110100101000100
31102002110100102200
4200210332211010
52104410030140
6130122434500
716354502163
oct4044764504
91362410380
10546564420
11260580a36
12133062a30
13893097cc
14528373da
1532eb5030
hex2093e944

546564420 has 72 divisors (see below), whose sum is σ = 1666608216. Its totient is φ = 144986112.

The previous prime is 546564413. The next prime is 546564437. The reversal of 546564420 is 24465645.

546564420 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 545596164 = 984^2 + 23358^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26874 + ... + 42606.

Almost surely, 2546564420 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 546564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833304108).

546564420 is an abundant number, since it is smaller than the sum of its proper divisors (1120043796).

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

546564420 is a wasteful number, since it uses less digits than its factorization.

546564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15941 (or 15936 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 546564420 is about 23378.7172445367. The cubic root of 546564420 is about 817.6117401900.

The spelling of 546564420 in words is "five hundred forty-six million, five hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 15733 17370 31466 34740 47199 62932 78665 94398 141597 157330 188796 235995 283194 314660 471990 566388 707985 943980 1415970 2831940 3036469 6072938 9109407 12145876 15182345 18218814 27328221 30364690 36437628 45547035 54656442 60729380 91094070 109312884 136641105 182188140 273282210 546564420