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54369040 = 24511311993
BaseRepresentation
bin1100111101100…
…1101100010000
310210022020022011
43033121230100
5102404302130
65221152304
71230062215
oct317315420
9123266264
1054369040
11287652a0
121625b694
13b357c3b
147313b0c
154b8e52a
hex33d9b10

54369040 has 80 divisors (see below), whose sum is σ = 142419456. Its totient is φ = 19123200.

The previous prime is 54369037. The next prime is 54369041. The reversal of 54369040 is 4096345.

54369040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 54368993 and 54369011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54369041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26284 + ... + 28276.

Almost surely, 254369040 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 54369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71209728).

54369040 is an abundant number, since it is smaller than the sum of its proper divisors (88050416).

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

54369040 is a wasteful number, since it uses less digits than its factorization.

54369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 54369040 is about 7373.5364649536. The cubic root of 54369040 is about 378.8354002911.

The spelling of 54369040 in words is "fifty-four million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 1993 2480 2728 3410 3986 5456 6820 7972 9965 13640 15944 19930 21923 27280 31888 39860 43846 61783 79720 87692 109615 123566 159440 175384 219230 247132 308915 350768 438460 494264 617830 679613 876920 988528 1235660 1359226 1753840 2471320 2718452 3398065 4942640 5436904 6796130 10873808 13592260 27184520 54369040