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54720240 = 2435416783
BaseRepresentation
bin1101000010111…
…1011011110000
310210222002001120
43100233123300
5103002021430
65232502240
71233054141
oct320573360
9123862046
1054720240
1128985143
12163aa980
13b44ba53
1473a5ac8
154c0d610
hex342f6f0

54720240 has 160 divisors (see below), whose sum is σ = 178488576. Its totient is φ = 13854720.

The previous prime is 54720131. The next prime is 54720251. The reversal of 54720240 is 4202745.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 54720240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659239 + ... + 659321.

Almost surely, 254720240 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 54720240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89244288).

54720240 is an abundant number, since it is smaller than the sum of its proper divisors (123768336).

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

54720240 is a wasteful number, since it uses less digits than its factorization.

54720240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 54720240 is about 7397.3130256871. The cubic root of 54720240 is about 379.6493533625.

Adding to 54720240 its reverse (4202745), we get a palindrome (58922985).

The spelling of 54720240 in words is "fifty-four million, seven hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 67 80 82 83 120 123 134 164 166 201 205 240 246 249 268 328 332 335 402 410 415 492 498 536 615 656 664 670 804 820 830 984 996 1005 1072 1230 1245 1328 1340 1608 1640 1660 1968 1992 2010 2460 2490 2680 2747 3216 3280 3320 3403 3984 4020 4920 4980 5360 5494 5561 6640 6806 8040 8241 9840 9960 10209 10988 11122 13612 13735 16080 16482 16683 17015 19920 20418 21976 22244 27224 27470 27805 32964 33366 34030 40836 41205 43952 44488 51045 54448 54940 55610 65928 66732 68060 81672 82410 83415 88976 102090 109880 111220 131856 133464 136120 163344 164820 166830 204180 219760 222440 228001 266928 272240 329640 333660 408360 444880 456002 659280 667320 684003 816720 912004 1140005 1334640 1368006 1824008 2280010 2736012 3420015 3648016 4560020 5472024 6840030 9120040 10944048 13680060 18240080 27360120 54720240