Search a number
-
+
53130688 = 2613193361
BaseRepresentation
bin1100101010101…
…1010111000000
310200222022121021
43022223113000
5102100140223
65134435224
71213413652
oct312532700
9120868537
1053130688
1127a99966
1215962b14
13b0133a0
1470b06d2
1549e765d
hex32ab5c0

53130688 has 56 divisors (see below), whose sum is σ = 119552720. Its totient is φ = 23224320.

The previous prime is 53130677. The next prime is 53130689. The reversal of 53130688 is 88603135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53130689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14128 + ... + 17488.

It is an arithmetic number, because the mean of its divisors is an integer number (2134870).

Almost surely, 253130688 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 53130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59776360).

53130688 is an abundant number, since it is smaller than the sum of its proper divisors (66422032).

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

53130688 is a wasteful number, since it uses less digits than its factorization.

53130688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 53130688 is about 7289.0800516938. The cubic root of 53130688 is about 375.9370650663.

The spelling of 53130688 in words is "fifty-three million, one hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3361 3952 6722 7904 13444 15808 26888 43693 53776 63859 87386 107552 127718 174772 215104 255436 349544 510872 699088 830167 1021744 1398176 1660334 2043488 2796352 3320668 4086976 6641336 13282672 26565344 53130688