Search a number
-
+
56350720 = 21155503
BaseRepresentation
bin1101011011110…
…1100000000000
310221000220122201
43112331200000
5103411210340
65331442544
71252654546
oct326754000
9127026581
1056350720
1129899148
1216a56454
13b89cc2a
1476abd96
154e3179a
hex35bd800

56350720 has 48 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 22536192.

The previous prime is 56350709. The next prime is 56350729. The reversal of 56350720 is 2705365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56350729) 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 3 ways as a sum of consecutive naturals, for example, 7489 + ... + 12991.

It is an arithmetic number, because the mean of its divisors is an integer number (2817360).

Almost surely, 256350720 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 56350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

56350720 is an abundant number, since it is smaller than the sum of its proper divisors (78882560).

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

56350720 is an equidigital number, since it uses as much as digits as its factorization.

56350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 56350720 is about 7506.7116635715. The cubic root of 56350720 is about 383.3832692771.

Subtracting from 56350720 its product of nonzero digits (6300), we obtain a triangular number (56344420 = T10615).

The spelling of 56350720 in words is "fifty-six million, three hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 5503 10240 11006 22012 27515 44024 55030 88048 110060 176096 220120 352192 440240 704384 880480 1408768 1760960 2817536 3521920 5635072 7043840 11270144 14087680 28175360 56350720