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956420 = 225172997
BaseRepresentation
bin11101001100000000100
31210120221222
43221200010
5221101140
632255512
711062253
oct3514004
91716858
10956420
115a3633
123a1598
1327643a
141ac79a
1513d5b5
hexe9804

956420 has 48 divisors (see below), whose sum is σ = 2222640. Its totient is φ = 344064.

The previous prime is 956401. The next prime is 956429. The reversal of 956420 is 24659.

It can be written as a sum of positive squares in 8 ways, for example, as 3844 + 952576 = 62^2 + 976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 956420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956429) by changing a digit.

956420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9812 + ... + 9908.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2956420 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 956420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111320).

956420 is an abundant number, since it is smaller than the sum of its proper divisors (1266220).

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

956420 is a wasteful number, since it uses less digits than its factorization.

956420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 956420 is about 977.9672796162. The cubic root of 956420 is about 98.5257046815.

The spelling of 956420 in words is "nine hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 97 116 145 170 194 290 340 388 485 493 580 970 986 1649 1940 1972 2465 2813 3298 4930 5626 6596 8245 9860 11252 14065 16490 28130 32980 47821 56260 95642 191284 239105 478210 956420