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5980896 = 2532191093
BaseRepresentation
bin10110110100001011100000
3102020212020200
4112310023200
53012342041
6332105200
7101560005
oct26641340
912225220
105980896
113415599
122005200
1313153bc
14b198ac
157d21b6
hex5b42e0

5980896 has 72 divisors (see below), whose sum is σ = 17919720. Its totient is φ = 1886976.

The previous prime is 5980859. The next prime is 5980903. The reversal of 5980896 is 6980895.

5980896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×59808962 = 71542233925632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4926 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (248885).

Almost surely, 25980896 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 5980896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959860).

5980896 is an abundant number, since it is smaller than the sum of its proper divisors (11938824).

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

5980896 is a wasteful number, since it uses less digits than its factorization.

5980896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5980896 is about 2445.5870460893. The cubic root of 5980896 is about 181.5189971692.

Subtracting 5980896 from its reverse (6980895), we obtain a palindrome (999999).

The spelling of 5980896 in words is "five million, nine hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1093 1368 1824 2186 2736 3279 4372 5472 6558 8744 9837 13116 17488 19674 20767 26232 34976 39348 41534 52464 62301 78696 83068 104928 124602 157392 166136 186903 249204 314784 332272 373806 498408 664544 747612 996816 1495224 1993632 2990448 5980896