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556601120 = 25521116487
BaseRepresentation
bin100001001011010…
…000111100100000
31102210100021012022
4201023100330200
52114442213440
6131121521012
716536013535
oct4113207440
91383307168
10556601120
11266206729
121364a3168
138b411c9a
1453ccad8c
1533ce8cb5
hex212d0f20

556601120 has 48 divisors (see below), whose sum is σ = 1321282368. Its totient is φ = 221571840.

The previous prime is 556601113. The next prime is 556601167. The reversal of 556601120 is 21106655.

It is a self number, because there is not a number n which added to its sum of digits gives 556601120.

It is an unprimeable number.

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, 25517 + ... + 42003.

It is an arithmetic number, because the mean of its divisors is an integer number (27526716).

Almost surely, 2556601120 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 556601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660641184).

556601120 is an abundant number, since it is smaller than the sum of its proper divisors (764681248).

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

556601120 is a wasteful number, since it uses less digits than its factorization.

556601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 556601120 is about 23592.3953849540. The cubic root of 556601120 is about 822.5860849838.

Adding to 556601120 its reverse (21106655), we get a palindrome (577707775).

The spelling of 556601120 in words is "five hundred fifty-six million, six hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 422 844 1055 1688 2110 3376 4220 6752 8440 16487 16880 32974 33760 65948 82435 131896 164870 263792 329740 527584 659480 1318960 2637920 3478757 6957514 13915028 17393785 27830056 34787570 55660112 69575140 111320224 139150280 278300560 556601120