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5971056 = 2437131367
BaseRepresentation
bin10110110001110001110000
3102020100202020
4112301301300
53012033211
6331551440
7101516220
oct26616160
912210666
105971056
113409163
121bbb580
131310a90
14b16080
157ce306
hex5b1c70

5971056 has 80 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 1573632.

The previous prime is 5971027. The next prime is 5971061. The reversal of 5971056 is 6501795.

It is a super-3 number, since 3×59710563 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 5051.

Almost surely, 25971056 is an apocalyptic number.

5971056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5971056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

5971056 is an abundant number, since it is smaller than the sum of its proper divisors (13027728).

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

5971056 is a wasteful number, since it uses less digits than its factorization.

5971056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 5971056 is about 2443.5744310334. The cubic root of 5971056 is about 181.4193951823.

It can be divided in two parts, 597 and 1056, that added together give a triangular number (1653 = T57).

The spelling of 5971056 in words is "five million, nine hundred seventy-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1367 1456 2184 2734 4101 4368 5468 8202 9569 10936 16404 17771 19138 21872 28707 32808 35542 38276 53313 57414 65616 71084 76552 106626 114828 124397 142168 153104 213252 229656 248794 284336 373191 426504 459312 497588 746382 853008 995176 1492764 1990352 2985528 5971056