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54684240 = 243513171031
BaseRepresentation
bin1101000010011…
…0101001010000
310210220020200020
43100212221100
5102444343430
65232023440
71232544162
oct320465120
9123806606
1054684240
1128960096
1216391b80
13b438550
147396932
154c02b10
hex3426a50

54684240 has 160 divisors (see below), whose sum is σ = 193487616. Its totient is φ = 12656640.

The previous prime is 54684239. The next prime is 54684241. The reversal of 54684240 is 4248645.

It is an interprime number because it is at equal distance from previous prime (54684239) and next prime (54684241).

It is a super-2 number, since 2×546842402 = 5980732208755200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54684241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52525 + ... + 53555.

Almost surely, 254684240 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 54684240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96743808).

54684240 is an abundant number, since it is smaller than the sum of its proper divisors (138803376).

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

54684240 is a wasteful number, since it uses less digits than its factorization.

54684240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 54684240 is about 7394.8793093600. The cubic root of 54684240 is about 379.5660790260.

The spelling of 54684240 in words is "fifty-four million, six hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1031 1040 1105 1326 1360 1560 1768 2040 2062 2210 2652 3093 3120 3315 3536 4080 4124 4420 5155 5304 6186 6630 8248 8840 10310 10608 12372 13260 13403 15465 16496 17527 17680 20620 24744 26520 26806 30930 35054 40209 41240 49488 52581 53040 53612 61860 67015 70108 80418 82480 87635 105162 107224 123720 134030 140216 160836 175270 201045 210324 214448 227851 247440 262905 268060 280432 321672 350540 402090 420648 455702 525810 536120 643344 683553 701080 804180 841296 911404 1051620 1072240 1139255 1367106 1402160 1608360 1822808 2103240 2278510 2734212 3216720 3417765 3645616 4206480 4557020 5468424 6835530 9114040 10936848 13671060 18228080 27342120 54684240