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5960772 = 2232232313
BaseRepresentation
bin10110101111010001000100
3102012211122100
4112233101010
53011221042
6331432100
7101444226
oct26572104
912184570
105960772
113401464
121bb5630
1313091ac
14b12416
157cb24c
hex5af444

5960772 has 54 divisors (see below), whose sum is σ = 15801422. Its totient is φ = 1894464.

The previous prime is 5960767. The next prime is 5960777. The reversal of 5960772 is 2770695.

It is an interprime number because it is at equal distance from previous prime (5960767) and next prime (5960777).

It can be written as a sum of positive squares in only one way, i.e., 3218436 + 2742336 = 1794^2 + 1656^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5960777) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 18888 + ... + 19200.

Almost surely, 25960772 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 5960772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900711).

5960772 is an abundant number, since it is smaller than the sum of its proper divisors (9840650).

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

5960772 is a wasteful number, since it uses less digits than its factorization.

5960772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5960772 is about 2441.4692297877. The cubic root of 5960772 is about 181.3151819466.

The spelling of 5960772 in words is "five million, nine hundred sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 313 414 529 626 828 939 1058 1252 1587 1878 2116 2817 3174 3756 4761 5634 6348 7199 9522 11268 14398 19044 21597 28796 43194 64791 86388 129582 165577 259164 331154 496731 662308 993462 1490193 1986924 2980386 5960772