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54603640 = 23572132143
BaseRepresentation
bin1101000001001…
…0111101111000
310210202011010001
43100102331320
5102434304030
65230202344
71232060200
oct320227570
9123664101
1054603640
1128905583
12163533b4
13b40a960
147375400
154bd8cca
hex3412f78

54603640 has 96 divisors (see below), whose sum is σ = 153982080. Its totient is φ = 17273088.

The previous prime is 54603631. The next prime is 54603649. The reversal of 54603640 is 4630645.

54603640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54603631) and next prime (54603649).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 = 54603599 and 54603608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54603649) 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 23 ways as a sum of consecutive naturals, for example, 24409 + ... + 26551.

It is an arithmetic number, because the mean of its divisors is an integer number (1603980).

Almost surely, 254603640 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 54603640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76991040).

54603640 is an abundant number, since it is smaller than the sum of its proper divisors (99378440).

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

54603640 is a wasteful number, since it uses less digits than its factorization.

54603640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 54603640 is about 7389.4275827022. The cubic root of 54603640 is about 379.3795044370.

The spelling of 54603640 in words is "fifty-four million, six hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2143 2548 3185 3640 4286 5096 6370 8572 10715 12740 15001 17144 21430 25480 27859 30002 42860 55718 60004 75005 85720 105007 111436 120008 139295 150010 195013 210014 222872 278590 300020 390026 420028 525035 557180 600040 780052 840056 975065 1050070 1114360 1365091 1560104 1950130 2100140 2730182 3900260 4200280 5460364 6825455 7800520 10920728 13650910 27301820 54603640