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54566640 = 2432575787
BaseRepresentation
bin1101000000100…
…1111011110000
310210200021100200
43100021323300
5102432113030
65225315200
71231544262
oct320117360
9123607320
1054566640
112888a7a7
1216335b00
13b3c6b6b
147365b32
154bccd60
hex3409ef0

54566640 has 60 divisors (see below), whose sum is σ = 183255384. Its totient is φ = 14550912.

The previous prime is 54566597. The next prime is 54566641. The reversal of 54566640 is 4666545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 54566595 and 54566604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54566641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37174 + ... + 38613.

Almost surely, 254566640 is an apocalyptic number.

It is an amenable number.

54566640 is an abundant number, since it is smaller than the sum of its proper divisors (128688744).

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

54566640 is a wasteful number, since it uses less digits than its factorization.

54566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75806 (or 75797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 54566640 is about 7386.9235815730. The cubic root of 54566640 is about 379.2937945624.

The spelling of 54566640 in words is "fifty-four million, five hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 75787 151574 227361 303148 378935 454722 606296 682083 757870 909444 1136805 1212592 1364166 1515740 1818888 2273610 2728332 3031480 3410415 3637776 4547220 5456664 6062960 6820830 9094440 10913328 13641660 18188880 27283320 54566640