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56501340 = 22357235849
BaseRepresentation
bin1101011110001…
…0010001011100
310221022120021020
43113202101130
5103431020330
65335004140
71254152640
oct327422134
9127276236
1056501340
1129991325
1216b09650
13b92365c
14770ac20
154e61210
hex35e245c

56501340 has 96 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 12350976.

The previous prime is 56501327. The next prime is 56501359. The reversal of 56501340 is 4310565.

56501340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 56501340.

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 31 ways as a sum of consecutive naturals, for example, 6736 + ... + 12584.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 256501340 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 56501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

56501340 is an abundant number, since it is smaller than the sum of its proper divisors (132196260).

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

56501340 is a wasteful number, since it uses less digits than its factorization.

56501340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5889 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56501340 is about 7516.7373241321. The cubic root of 56501340 is about 383.7245474671.

The spelling of 56501340 in words is "fifty-six million, five hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 5849 9660 11698 17547 23396 29245 35094 40943 58490 70188 81886 87735 116980 122829 134527 163772 175470 204715 245658 269054 350940 403581 409430 491316 538108 614145 672635 807162 818860 941689 1228290 1345270 1614324 1883378 2017905 2456580 2690540 2825067 3766756 4035810 4708445 5650134 8071620 9416890 11300268 14125335 18833780 28250670 56501340