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661896 = 233229317
BaseRepresentation
bin10100001100110001000
31020121221200
42201212020
5132140041
622104200
75424504
oct2414610
91217850
10661896
11412324
1227b060
131a2371
14133304
15d11b6
hexa1988

661896 has 48 divisors (see below), whose sum is σ = 1860300. Its totient is φ = 212352.

The previous prime is 661889. The next prime is 661897. The reversal of 661896 is 698166.

It can be written as a sum of positive squares in 2 ways, for example, as 617796 + 44100 = 786^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 661896.

It is not an unprimeable number, because it can be changed into a prime (661897) 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 11 ways as a sum of consecutive naturals, for example, 1930 + ... + 2246.

2661896 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 661896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930150).

661896 is an abundant number, since it is smaller than the sum of its proper divisors (1198404).

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

661896 is a wasteful number, since it uses less digits than its factorization.

661896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 351 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 661896 is about 813.5699109480. The cubic root of 661896 is about 87.1491693768.

The spelling of 661896 in words is "six hundred sixty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 317 348 522 634 696 951 1044 1268 1902 2088 2536 2853 3804 5706 7608 9193 11412 18386 22824 27579 36772 55158 73544 82737 110316 165474 220632 330948 661896