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5961968 = 241723953
BaseRepresentation
bin10110101111100011110000
3102012220021122
4112233203300
53011240333
6331441412
7101450555
oct26574360
912186248
105961968
113402351
121bb6268
1313098bc
14b12a2c
157cb798
hex5af8f0

5961968 has 40 divisors (see below), whose sum is σ = 12775968. Its totient is φ = 2680832.

The previous prime is 5961931. The next prime is 5961971. The reversal of 5961968 is 8691695.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5780 + ... + 6732.

Almost surely, 25961968 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 5961968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387984).

5961968 is an abundant number, since it is smaller than the sum of its proper divisors (6814000).

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

5961968 is a wasteful number, since it uses less digits than its factorization.

5961968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 995 counting only the distinct ones).

The product of its digits is 116640, while the sum is 44.

The square root of 5961968 is about 2441.7141519842. The cubic root of 5961968 is about 181.3273078063.

The spelling of 5961968 in words is "five million, nine hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 782 953 1564 1906 3128 3812 6256 7624 15248 16201 21919 32402 43838 64804 87676 129608 175352 259216 350704 372623 745246 1490492 2980984 5961968