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55676140 = 225131971087
BaseRepresentation
bin1101010001100…
…0110011101100
310212202122022021
43110120303230
5103223114030
65305155524
71244145052
oct324306354
9125678267
1055676140
1129478343
121678bba4
13b6c4b80
1475741d2
154d4b97a
hex3518cec

55676140 has 48 divisors (see below), whose sum is σ = 126669312. Its totient is φ = 20434176.

The previous prime is 55676113. The next prime is 55676167. The reversal of 55676140 is 4167655.

It is a happy number.

55676140 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 (55676113) and next prime (55676167).

It is a junction number, because it is equal to n+sod(n) for n = 55676096 and 55676105.

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 15 ways as a sum of consecutive naturals, for example, 50677 + ... + 51763.

It is an arithmetic number, because the mean of its divisors is an integer number (2638944).

Almost surely, 255676140 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 55676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63334656).

55676140 is an abundant number, since it is smaller than the sum of its proper divisors (70993172).

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

55676140 is a wasteful number, since it uses less digits than its factorization.

55676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 55676140 is about 7461.6445908392. The cubic root of 55676140 is about 381.8472841488.

The spelling of 55676140 in words is "fifty-five million, six hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1087 1970 2174 2561 3940 4348 5122 5435 10244 10870 12805 14131 21740 25610 28262 51220 56524 70655 141310 214139 282620 428278 856556 1070695 2141390 2783807 4282780 5567614 11135228 13919035 27838070 55676140