Search a number
-
+
5128185280 = 26573321863
BaseRepresentation
bin1001100011010100…
…11110010111000000
3111020101120210201011
410301222132113000
541000303412110
62204510450304
7241036566331
oct46152362700
914211523634
105128185280
1121a17aa559
12bb1503994
1363959037a
1436910c288
1520032748a
hex131a9e5c0

5128185280 has 56 divisors (see below), whose sum is σ = 12228710112. Its totient is φ = 2048381952.

The previous prime is 5128185259. The next prime is 5128185287. The reversal of 5128185280 is 825818215.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128185287) 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, 223629 + ... + 245491.

Almost surely, 25128185280 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 5128185280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114355056).

5128185280 is an abundant number, since it is smaller than the sum of its proper divisors (7100524832).

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

5128185280 is a wasteful number, since it uses less digits than its factorization.

5128185280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22613 (or 22603 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 40.

The square root of 5128185280 is about 71611.3488212588. The cubic root of 5128185280 is about 1724.4657344258.

The spelling of 5128185280 in words is "five billion, one hundred twenty-eight million, one hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 733 1466 2932 3665 5864 7330 11728 14660 21863 23456 29320 43726 46912 58640 87452 109315 117280 174904 218630 234560 349808 437260 699616 874520 1399232 1749040 3498080 6996160 16025579 32051158 64102316 80127895 128204632 160255790 256409264 320511580 512818528 641023160 1025637056 1282046320 2564092640 5128185280