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956130 = 235729157
BaseRepresentation
bin11101001011011100010
31210120120020
43221123202
5221044010
632254310
711061360
oct3513342
91716506
10956130
115a339a
123a1396
13276276
141ac630
1513d470
hexe96e2

956130 has 64 divisors (see below), whose sum is σ = 2730240. Its totient is φ = 209664.

The previous prime is 956119. The next prime is 956143. The reversal of 956130 is 31659.

It is a self number, because there is not a number n which added to its sum of digits gives 956130.

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 31 ways as a sum of consecutive naturals, for example, 6012 + ... + 6168.

It is an arithmetic number, because the mean of its divisors is an integer number (42660).

2956130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 956130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365120).

956130 is an abundant number, since it is smaller than the sum of its proper divisors (1774110).

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

956130 is a wasteful number, since it uses less digits than its factorization.

956130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 956130 is about 977.8190016562. The cubic root of 956130 is about 98.5157455482.

Adding to 956130 its reverse (31659), we get a palindrome (987789).

It can be divided in two parts, 9561 and 30, that added together give a triangular number (9591 = T138).

The spelling of 956130 in words is "nine hundred fifty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 157 174 203 210 290 314 406 435 471 609 785 870 942 1015 1099 1218 1570 2030 2198 2355 3045 3297 4553 4710 5495 6090 6594 9106 10990 13659 16485 22765 27318 31871 32970 45530 63742 68295 95613 136590 159355 191226 318710 478065 956130