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56158920 = 2334517333
BaseRepresentation
bin1101011000111…
…0101011001000
310220200011120000
43112032223020
5103334041140
65323403000
71251225426
oct326165310
9126604500
1056158920
1129778034
1216983460
13b83383c
14765c116
154de4a30
hex358eac8

56158920 has 80 divisors (see below), whose sum is σ = 188767260. Its totient is φ = 14974848.

The previous prime is 56158913. The next prime is 56158951. The reversal of 56158920 is 2985165.

It is a happy number.

56158920 is a `hidden beast` number, since 56 + 1 + 589 + 20 = 666.

56158920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49533444 + 6625476 = 7038^2 + 2574^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 5427 + ... + 11906.

Almost surely, 256158920 is an apocalyptic number.

It is an amenable number.

56158920 is an abundant number, since it is smaller than the sum of its proper divisors (132608340).

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

56158920 is a wasteful number, since it uses less digits than its factorization.

56158920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17356 (or 17343 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 56158920 is about 7493.9255400624. The cubic root of 56158920 is about 382.9478031065.

It can be divided in two parts, 5615 and 8920, that added together give a triangular number (14535 = T170).

The spelling of 56158920 in words is "fifty-six million, one hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 17333 34666 51999 69332 86665 103998 138664 155997 173330 207996 259995 311994 346660 415992 467991 519990 623988 693320 779985 935982 1039980 1247976 1403973 1559970 1871964 2079960 2339955 2807946 3119940 3743928 4679910 5615892 6239880 7019865 9359820 11231784 14039730 18719640 28079460 56158920