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2103616256 = 287323957
BaseRepresentation
bin111110101100010…
…1010001100000000
312102121022210000012
41331120222030000
513302011210011
6544423444052
7103062305000
oct17530521400
95377283005
102103616256
1198a489035
124a85b6628
13276a85b61
1415d54c000
15c4a2da8b
hex7d62a300

2103616256 has 72 divisors (see below), whose sum is σ = 4897015200. Its totient is φ = 901512192.

The previous prime is 2103616247. The next prime is 2103616289. The reversal of 2103616256 is 6526163012.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 75830 + ... + 99786.

It is an arithmetic number, because the mean of its divisors is an integer number (68014100).

Almost surely, 22103616256 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 2103616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448507600).

2103616256 is an abundant number, since it is smaller than the sum of its proper divisors (2793398944).

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

2103616256 is an frugal number, since it uses more digits than its factorization.

2103616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23994 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2103616256 is about 45865.1965655877. The cubic root of 2103616256 is about 1281.3138072811.

Adding to 2103616256 its reverse (6526163012), we get a palindrome (8629779268).

The spelling of 2103616256 in words is "two billion, one hundred three million, six hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 686 784 896 1372 1568 1792 2744 3136 5488 6272 10976 12544 21952 23957 43904 47914 87808 95828 167699 191656 335398 383312 670796 766624 1173893 1341592 1533248 2347786 2683184 3066496 4695572 5366368 6132992 8217251 9391144 10732736 16434502 18782288 21465472 32869004 37564576 42930944 65738008 75129152 131476016 150258304 262952032 300516608 525904064 1051808128 2103616256