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54686940 = 223572111989
BaseRepresentation
bin1101000010011…
…1010011011100
310210220101101020
43100213103130
5102444440230
65232044140
71232555100
oct320472334
9123811336
1054686940
1128962120
1216393650
13b439849
147397900
154c03810
hex34274dc

54686940 has 288 divisors, whose sum is σ = 206841600. Its totient is φ = 10644480.

The previous prime is 54686917. The next prime is 54686963. The reversal of 54686940 is 4968645.

54686940 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 (54686917) and next prime (54686963).

It is a super-2 number, since 2×546869402 = 5981322813127200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 54686892 and 54686901.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 614416 + ... + 614504.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 254686940 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 54686940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103420800).

54686940 is an abundant number, since it is smaller than the sum of its proper divisors (152154660).

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

54686940 is a wasteful number, since it uses less digits than its factorization.

54686940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 54686940 is about 7395.0618658670. The cubic root of 54686940 is about 379.5723258687.

The spelling of 54686940 in words is "fifty-four million, six hundred eighty-six thousand, nine hundred forty".