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54266940 = 223257133313
BaseRepresentation
bin1100111100000…
…0110000111100
310210010001020200
43033000300330
5102343020230
65215043500
71226155440
oct317006074
9123101220
1054266940
11286a5612
1216210590
13b320620
1472c8820
154b6e160
hex33c0c3c

54266940 has 144 divisors (see below), whose sum is σ = 202657728. Its totient is φ = 11446272.

The previous prime is 54266923. The next prime is 54266951. The reversal of 54266940 is 4966245.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54266895 and 54266904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14724 + ... + 18036.

Almost surely, 254266940 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 54266940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101328864).

54266940 is an abundant number, since it is smaller than the sum of its proper divisors (148390788).

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

54266940 is a wasteful number, since it uses less digits than its factorization.

54266940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 54266940 is about 7366.6098037021. The cubic root of 54266940 is about 378.5981124794.

The spelling of 54266940 in words is "fifty-four million, two hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 3313 4095 5460 6626 8190 9939 13252 16380 16565 19878 23191 29817 33130 39756 43069 46382 49695 59634 66260 69573 86138 92764 99390 115955 119268 129207 139146 149085 172276 198780 208719 215345 231910 258414 278292 298170 301483 347865 387621 417438 430690 463820 516828 596340 602966 646035 695730 775242 834876 861380 904449 1043595 1205932 1292070 1391460 1507415 1550484 1808898 1938105 2087190 2584140 2713347 3014830 3617796 3876210 4174380 4522245 5426694 6029660 7752420 9044490 10853388 13566735 18088980 27133470 54266940