Search a number
-
+
55687360 = 2651011723
BaseRepresentation
bin1101010001101…
…1100011000000
310212210012200211
43110123203000
5103223443420
65305323504
71244222551
oct324334300
9125705624
1055687360
1129485813
1216796594
13b6ca001
147578328
154d4ee5a
hex351b8c0

55687360 has 56 divisors (see below), whose sum is σ = 133996176. Its totient is φ = 22041600.

The previous prime is 55687351. The next prime is 55687363. The reversal of 55687360 is 6378655.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55687363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31459 + ... + 33181.

Almost surely, 255687360 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 55687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66998088).

55687360 is an abundant number, since it is smaller than the sum of its proper divisors (78308816).

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

55687360 is a wasteful number, since it uses less digits than its factorization.

55687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 55687360 is about 7462.3963979408. The cubic root of 55687360 is about 381.8729327107.

The spelling of 55687360 in words is "fifty-five million, six hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 160 202 320 404 505 808 1010 1616 1723 2020 3232 3446 4040 6464 6892 8080 8615 13784 16160 17230 27568 32320 34460 55136 68920 110272 137840 174023 275680 348046 551360 696092 870115 1392184 1740230 2784368 3480460 5568736 6960920 11137472 13921840 27843680 55687360