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5693130 = 232517612
BaseRepresentation
bin10101101101111011001010
3101201020111200
4111231323022
52424140010
6322005030
766251022
oct25557312
911636450
105693130
113239373
121aa6776
131244421
14a82a82
15776cc0
hex56deca

5693130 has 72 divisors (see below), whose sum is σ = 15933996. Its totient is φ = 1405440.

The previous prime is 5693123. The next prime is 5693131. The reversal of 5693130 is 313965.

5693130 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 6 ways, for example, as 370881 + 5322249 = 609^2 + 2307^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5693094 and 5693103.

It is not an unprimeable number, because it can be changed into a prime (5693131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93300 + ... + 93360.

Almost surely, 25693130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5693130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966998).

5693130 is an abundant number, since it is smaller than the sum of its proper divisors (10240866).

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

5693130 is a wasteful number, since it uses less digits than its factorization.

5693130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5693130 is about 2386.0280803042. The cubic root of 5693130 is about 178.5598038909.

The spelling of 5693130 in words is "five million, six hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 61 85 90 102 122 153 170 183 255 305 306 366 510 549 610 765 915 1037 1098 1530 1830 2074 2745 3111 3721 5185 5490 6222 7442 9333 10370 11163 15555 18605 18666 22326 31110 33489 37210 46665 55815 63257 66978 93330 111630 126514 167445 189771 316285 334890 379542 569313 632570 948855 1138626 1897710 2846565 5693130