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5781400 = 2352137211
BaseRepresentation
bin10110000011011110011000
3101212201120221
4112003132120
52440001100
6323525424
7100066252
oct26033630
911781527
105781400
113299719
121b29874
131275661
14aa6cd2
1579301a
hex583798

5781400 has 48 divisors (see below), whose sum is σ = 13604040. Its totient is φ = 2284800.

The previous prime is 5781383. The next prime is 5781409. The reversal of 5781400 is 41875.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5781409) 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 11 ways as a sum of consecutive naturals, for example, 27295 + ... + 27505.

Almost surely, 25781400 is an apocalyptic number.

5781400 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 5781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6802020).

5781400 is an abundant number, since it is smaller than the sum of its proper divisors (7822640).

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

5781400 is a wasteful number, since it uses less digits than its factorization.

5781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 5781400 is about 2404.4542000213. The cubic root of 5781400 is about 179.4779110163.

The spelling of 5781400 in words is "five million, seven hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 211 274 422 548 685 844 1055 1096 1370 1688 2110 2740 3425 4220 5275 5480 6850 8440 10550 13700 21100 27400 28907 42200 57814 115628 144535 231256 289070 578140 722675 1156280 1445350 2890700 5781400