Search a number
-
+
4002104130 = 235179298447
BaseRepresentation
bin1110111010001011…
…0100001101000010
3101022220122221202220
43232202310031002
531144014313010
61501042551510
7201114216033
oct35642641502
911286587686
104002104130
1117740a1082
12938368596
134ba1aa36b
1429d740a8a
1518653d970
hexee8b4342

4002104130 has 64 divisors (see below), whose sum is σ = 10182205440. Its totient is φ = 1003249664.

The previous prime is 4002104101. The next prime is 4002104179. The reversal of 4002104130 is 314012004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469567 + ... + 478013.

It is an arithmetic number, because the mean of its divisors is an integer number (159096960).

Almost surely, 24002104130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091102720).

4002104130 is an abundant number, since it is smaller than the sum of its proper divisors (6180101310).

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

4002104130 is a wasteful number, since it uses less digits than its factorization.

4002104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4002104130 is about 63262.1856245894. The cubic root of 4002104130 is about 1587.6793446915.

Adding to 4002104130 its reverse (314012004), we get a palindrome (4316116134).

The spelling of 4002104130 in words is "four billion, two million, one hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 929 1858 2787 4645 5574 8447 9290 13935 15793 16894 25341 27870 31586 42235 47379 50682 78965 84470 94758 126705 143599 157930 236895 253410 287198 430797 473790 717995 861594 1435990 2153985 4307970 7847263 15694526 23541789 39236315 47083578 78472630 117708945 133403471 235417890 266806942 400210413 667017355 800420826 1334034710 2001052065 4002104130