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961290 = 232511971
BaseRepresentation
bin11101010101100001010
31210211122100
43222230022
5221230130
632334230
711112411
oct3525412
91724570
10961290
115a7260
123a4376
13278715
141b0478
1513ec60
hexeab0a

961290 has 48 divisors (see below), whose sum is σ = 2729376. Its totient is φ = 232800.

The previous prime is 961283. The next prime is 961313. The reversal of 961290 is 92169.

It is a happy number.

961290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

961290 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (56862).

2961290 is an apocalyptic number.

961290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 961290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364688).

961290 is an abundant number, since it is smaller than the sum of its proper divisors (1768086).

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

961290 is a wasteful number, since it uses less digits than its factorization.

961290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 961290 is about 980.4539764823. The cubic root of 961290 is about 98.6926494959.

The spelling of 961290 in words is "nine hundred sixty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 971 990 1942 2913 4855 5826 8739 9710 10681 14565 17478 21362 29130 32043 43695 53405 64086 87390 96129 106810 160215 192258 320430 480645 961290