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5980176 = 2433109127
BaseRepresentation
bin10110110100000000010000
3102020211021000
4112310000100
53012331201
6332102000
7101554626
oct26640020
912224230
105980176
113414aa4
122004900
131314c87
14b19516
157d1d86
hex5b4010

5980176 has 80 divisors (see below), whose sum is σ = 17459200. Its totient is φ = 1959552.

The previous prime is 5980171. The next prime is 5980189. The reversal of 5980176 is 6710895.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5980176.

It is not an unprimeable number, because it can be changed into a prime (5980171) 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 15 ways as a sum of consecutive naturals, for example, 47025 + ... + 47151.

It is an arithmetic number, because the mean of its divisors is an integer number (218240).

Almost surely, 25980176 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 5980176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729600).

5980176 is an abundant number, since it is smaller than the sum of its proper divisors (11479024).

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

5980176 is a wasteful number, since it uses less digits than its factorization.

5980176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5980176 is about 2445.4398377388. The cubic root of 5980176 is about 181.5117129249.

The spelling of 5980176 in words is "five million, nine hundred eighty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 127 144 216 218 254 327 381 432 436 508 654 762 872 981 1016 1143 1308 1524 1744 1962 2032 2286 2616 2943 3048 3429 3924 4572 5232 5886 6096 6858 7848 9144 11772 13716 13843 15696 18288 23544 27432 27686 41529 47088 54864 55372 83058 110744 124587 166116 221488 249174 332232 373761 498348 664464 747522 996696 1495044 1993392 2990088 5980176