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5357460 = 2235293079
BaseRepresentation
bin10100011011111110010100
3101002012001110
4110123332110
52332414320
6310455020
763352263
oct24337624
911065043
105357460
11302a159
121964470
1311576c4
149d65da
1570c5e0
hex51bf94

5357460 has 48 divisors (see below), whose sum is σ = 15523200. Its totient is φ = 1378944.

The previous prime is 5357441. The next prime is 5357467. The reversal of 5357460 is 647535.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357467) 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 15 ways as a sum of consecutive naturals, for example, 201 + ... + 3279.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 25357460 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 5357460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761600).

5357460 is an abundant number, since it is smaller than the sum of its proper divisors (10165740).

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

5357460 is a wasteful number, since it uses less digits than its factorization.

5357460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 5357460 is about 2314.6187591048. The cubic root of 5357460 is about 174.9791539795.

The spelling of 5357460 in words is "five million, three hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 3079 6158 9237 12316 15395 18474 30790 36948 46185 61580 89291 92370 178582 184740 267873 357164 446455 535746 892910 1071492 1339365 1785820 2678730 5357460