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54155640 = 23357115861
BaseRepresentation
bin1100111010010…
…1100101111000
310202220101120110
43032211211320
5102330440030
65212424320
71225213110
oct316454570
9122811513
1054155640
1128629a30
12161780a0
13b2b1a76
14729a040
154b4b1b0
hex33a5978

54155640 has 128 divisors (see below), whose sum is σ = 202590720. Its totient is φ = 11251200.

The previous prime is 54155611. The next prime is 54155653. The reversal of 54155640 is 4655145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54155598 and 54155607.

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, 6310 + ... + 12170.

It is an arithmetic number, because the mean of its divisors is an integer number (1582740).

Almost surely, 254155640 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 54155640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101295360).

54155640 is an abundant number, since it is smaller than the sum of its proper divisors (148435080).

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

54155640 is a wasteful number, since it uses less digits than its factorization.

54155640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 54155640 is about 7359.0515693260. The cubic root of 54155640 is about 378.3391038901.

The spelling of 54155640 in words is "fifty-four million, one hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 5861 9240 11722 17583 23444 29305 35166 41027 46888 58610 64471 70332 82054 87915 117220 123081 128942 140664 164108 175830 193413 205135 234440 246162 257884 322355 328216 351660 386826 410270 451297 492324 515768 615405 644710 703320 773652 820540 902594 967065 984648 1230810 1289420 1353891 1547304 1641080 1805188 1934130 2256485 2461620 2578840 2707782 3610376 3868260 4512970 4923240 5415564 6769455 7736520 9025940 10831128 13538910 18051880 27077820 54155640