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5874414 = 2372132953
BaseRepresentation
bin10110011010001011101110
3102001110011220
4112122023232
53000440124
6325524210
7100634400
oct26321356
912043156
105874414
113352597
121b73666
1312a8ab0
14accb70
157b0879
hex59a2ee

5874414 has 96 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 1467648.

The previous prime is 5874403. The next prime is 5874419. The reversal of 5874414 is 4144785.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5874419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110812 + ... + 110864.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 25874414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5874414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

5874414 is an abundant number, since it is smaller than the sum of its proper divisors (9638706).

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

5874414 is a wasteful number, since it uses less digits than its factorization.

5874414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 5874414 is about 2423.7190431236. The cubic root of 5874414 is about 180.4353044540.

The spelling of 5874414 in words is "five million, eight hundred seventy-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 49 53 58 78 87 91 98 106 147 159 174 182 203 273 294 318 371 377 406 546 609 637 689 742 754 1113 1131 1218 1274 1378 1421 1537 1911 2067 2226 2262 2597 2639 2842 3074 3822 4134 4263 4611 4823 5194 5278 7791 7917 8526 9222 9646 10759 14469 15582 15834 18473 19981 21518 28938 32277 33761 36946 39962 55419 59943 64554 67522 75313 101283 110838 119886 139867 150626 202566 225939 279734 419601 451878 839202 979069 1958138 2937207 5874414