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54118540 = 2257623
BaseRepresentation
bin1100111001110…
…0100010001100
310202211111200101
43032130202030
5102323243130
65211540444
71225000000
oct316344214
9122744611
1054118540
1128604073
121615a724
13b29ac08
14728a700
154b401ca
hex339c88c

54118540 has 84 divisors (see below), whose sum is σ = 138355056. Its totient is φ = 17748192.

The previous prime is 54118523. The next prime is 54118541. The reversal of 54118540 is 4581145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 54118499 and 54118508.

It is not an unprimeable number, because it can be changed into a prime (54118541) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2352969 + ... + 2352991.

It is an arithmetic number, because the mean of its divisors is an integer number (1647084).

Almost surely, 254118540 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 54118540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69177528).

54118540 is an abundant number, since it is smaller than the sum of its proper divisors (84236516).

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

54118540 is an frugal number, since it uses more digits than its factorization.

54118540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 54118540 is about 7356.5304322078. The cubic root of 54118540 is about 378.2526888387.

Adding to 54118540 its reverse (4581145), we get a palindrome (58699685).

The spelling of 54118540 in words is "fifty-four million, one hundred eighteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 343 460 490 644 686 805 980 1127 1372 1610 1715 2254 2401 3220 3430 4508 4802 5635 6860 7889 9604 11270 12005 15778 16807 22540 24010 31556 33614 39445 48020 55223 67228 78890 84035 110446 117649 157780 168070 220892 235298 276115 336140 386561 470596 552230 588245 773122 1104460 1176490 1546244 1932805 2352980 2705927 3865610 5411854 7731220 10823708 13529635 27059270 54118540