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1095952 = 241113479
BaseRepresentation
bin100001011100100010000
32001200100211
410023210100
5240032302
635253504
712213124
oct4134420
92050324
101095952
11689450
1244a294
132c4ac0
14207584
15169ad7
hex10b910

1095952 has 40 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 458880.

The previous prime is 1095947. The next prime is 1095959. The reversal of 1095952 is 2595901.

It is a super-2 number, since 2×10959522 = 2402221572608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1095959) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2049 + ... + 2527.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

21095952 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 1095952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1095952 is an abundant number, since it is smaller than the sum of its proper divisors (1403888).

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

1095952 is a wasteful number, since it uses less digits than its factorization.

1095952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 1095952 is about 1046.8772611916. The cubic root of 1095952 is about 103.1012295381.

It can be divided in two parts, 10959 and 52, that added together give a palindrome (11011).

The spelling of 1095952 in words is "one million, ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 479 572 958 1144 1916 2288 3832 5269 6227 7664 10538 12454 21076 24908 42152 49816 68497 84304 99632 136994 273988 547976 1095952