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5981400 = 2332523323
BaseRepresentation
bin10110110100010011011000
3102020212221100
4112310103120
53012401100
6332111400
7101561325
oct26642330
912225840
105981400
113415a07
122005560
1313156b9
14b19b4c
157d2400
hex5b44d8

5981400 has 72 divisors (see below), whose sum is σ = 20093580. Its totient is φ = 1594560.

The previous prime is 5981387. The next prime is 5981411. The reversal of 5981400 is 41895.

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

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 17 ways as a sum of consecutive naturals, for example, 139 + ... + 3461.

Almost surely, 25981400 is an apocalyptic number.

5981400 is a gapful number since it is divisible by the number (50) 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 5981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046790).

5981400 is an abundant number, since it is smaller than the sum of its proper divisors (14112180).

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

5981400 is a wasteful number, since it uses less digits than its factorization.

5981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5981400 is about 2445.6900866627. The cubic root of 5981400 is about 181.5240957923.

The spelling of 5981400 in words is "five million, nine hundred eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 3323 6646 9969 13292 16615 19938 26584 29907 33230 39876 49845 59814 66460 79752 83075 99690 119628 132920 149535 166150 199380 239256 249225 299070 332300 398760 498450 598140 664600 747675 996900 1196280 1495350 1993800 2990700 5981400