Search a number
-
+
545574240 = 25325616211
BaseRepresentation
bin100000100001001…
…100110101100000
31102000121001011100
4200201030311200
52104131333430
6130045314400
716343206311
oct4041146540
91360531140
10545574240
1125aa65002
12132865a00
1389050bc3
145265a608
1532d6b960
hex2084cd60

545574240 has 144 divisors (see below), whose sum is σ = 1892597616. Its totient is φ = 143078400.

The previous prime is 545574199. The next prime is 545574241. The reversal of 545574240 is 42475545.

It is a happy number.

545574240 is a `hidden beast` number, since 5 + 45 + 574 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 545574195 and 545574204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545574241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84735 + ... + 90945.

It is an arithmetic number, because the mean of its divisors is an integer number (13143039).

Almost surely, 2545574240 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 545574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946298808).

545574240 is an abundant number, since it is smaller than the sum of its proper divisors (1347023376).

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

545574240 is a wasteful number, since it uses less digits than its factorization.

545574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6293 (or 6282 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 545574240 is about 23357.5306914066. The cubic root of 545574240 is about 817.1177013370.

The spelling of 545574240 in words is "five hundred forty-five million, five hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 6211 7320 8784 9760 10980 12422 14640 17568 18633 21960 24844 29280 31055 37266 43920 49688 55899 62110 74532 87840 93165 99376 111798 124220 149064 186330 198752 223596 248440 279495 298128 372660 378871 447192 496880 558990 596256 745320 757742 894384 993760 1117980 1136613 1490640 1515484 1788768 1894355 2235960 2273226 2981280 3030968 3409839 3788710 4471920 4546452 5683065 6061936 6819678 7577420 8943840 9092904 11366130 12123872 13639356 15154840 17049195 18185808 22732260 27278712 30309680 34098390 36371616 45464520 54557424 60619360 68196780 90929040 109114848 136393560 181858080 272787120 545574240