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5398740 = 2232589337
BaseRepresentation
bin10100100110000011010100
3101011021200100
4110212003110
52340224430
6311414100
763613524
oct24460324
911137610
105398740
113058176
121984330
131170429
14a07684
15719960
hex5260d4

5398740 has 72 divisors (see below), whose sum is σ = 16609320. Its totient is φ = 1419264.

The previous prime is 5398733. The next prime is 5398747. The reversal of 5398740 is 478935.

5398740 is a `hidden beast` number, since 539 + 87 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5398733) and next prime (5398747).

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 5391684 = 84^2 + 2322^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 5398695 and 5398704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5398747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15852 + ... + 16188.

It is an arithmetic number, because the mean of its divisors is an integer number (230685).

Almost surely, 25398740 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 5398740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8304660).

5398740 is an abundant number, since it is smaller than the sum of its proper divisors (11210580).

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

5398740 is a wasteful number, since it uses less digits than its factorization.

5398740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5398740 is about 2323.5188830737. The cubic root of 5398740 is about 175.4274178152.

The spelling of 5398740 in words is "five million, three hundred ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 337 356 445 534 674 801 890 1011 1068 1335 1348 1602 1685 1780 2022 2670 3033 3204 3370 4005 4044 5055 5340 6066 6740 8010 10110 12132 15165 16020 20220 29993 30330 59986 60660 89979 119972 149965 179958 269937 299930 359916 449895 539874 599860 899790 1079748 1349685 1799580 2699370 5398740