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54064920 = 23357134951
BaseRepresentation
bin1100111000111…
…1011100011000
310202201210010110
43032033130120
5102320034140
65210444320
71224354450
oct316173430
9122653113
1054064920
1128577858
12161336a0
13b27c6a0
147274d60
154b2e380
hex338f718

54064920 has 128 divisors (see below), whose sum is σ = 199664640. Its totient is φ = 11404800.

The previous prime is 54064909. The next prime is 54064921. The reversal of 54064920 is 2946045.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54064921) 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, 8445 + ... + 13395.

It is an arithmetic number, because the mean of its divisors is an integer number (1559880).

Almost surely, 254064920 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 54064920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99832320).

54064920 is an abundant number, since it is smaller than the sum of its proper divisors (145599720).

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

54064920 is a wasteful number, since it uses less digits than its factorization.

54064920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 54064920 is about 7352.8851480218. The cubic root of 54064920 is about 378.1277248170.

The spelling of 54064920 in words is "fifty-four million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 4951 5460 9902 10920 14853 19804 24755 29706 34657 39608 49510 59412 64363 69314 74265 99020 103971 118824 128726 138628 148530 173285 193089 198040 207942 257452 277256 297060 321815 346570 386178 415884 450541 514904 519855 594120 643630 693140 772356 831768 901082 965445 1039710 1287260 1351623 1386280 1544712 1802164 1930890 2079420 2252705 2574520 2703246 3604328 3861780 4158840 4505410 5406492 6758115 7723560 9010820 10812984 13516230 18021640 27032460 54064920