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54681480 = 2334572411
BaseRepresentation
bin1101000010010…
…1111110001000
310210220002220000
43100211332020
5102444301410
65232003000
71232533140
oct320457610
9123802800
1054681480
1128959007
1216390460
13b437209
147395920
154c01dc0
hex3425f88

54681480 has 160 divisors (see below), whose sum is σ = 210133440. Its totient is φ = 12493440.

The previous prime is 54681467. The next prime is 54681493. The reversal of 54681480 is 8418645.

It is an interprime number because it is at equal distance from previous prime (54681467) and next prime (54681493).

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 39 ways as a sum of consecutive naturals, for example, 21475 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (1313334).

Almost surely, 254681480 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 54681480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105066720).

54681480 is an abundant number, since it is smaller than the sum of its proper divisors (155451960).

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

54681480 is a wasteful number, since it uses less digits than its factorization.

54681480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2428 counting only the distinct ones).

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

The square root of 54681480 is about 7394.6926913835. The cubic root of 54681480 is about 379.5596931520.

The spelling of 54681480 in words is "fifty-four million, six hundred eighty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2411 2520 2835 3240 3780 4536 4822 5670 7233 7560 9644 11340 12055 14466 16877 19288 21699 22680 24110 28932 33754 36165 43398 48220 50631 57864 65097 67508 72330 84385 86796 96440 101262 108495 130194 135016 144660 151893 168770 173592 195291 202524 216990 253155 260388 289320 303786 325485 337540 390582 405048 433980 455679 506310 520776 607572 650970 675080 759465 781164 867960 911358 976455 1012620 1215144 1301940 1367037 1518930 1562328 1822716 1952910 2025240 2278395 2603880 2734074 3037860 3645432 3905820 4556790 5468148 6075720 6835185 7811640 9113580 10936296 13670370 18227160 27340740 54681480