Search a number
-
+
15211432240 = 2451012397877
BaseRepresentation
bin11100010101010110…
…00000100100110000
31110021002222211012021
432022223000210300
5222123111312430
610553225441224
71045645016644
oct161253004460
943232884167
1015211432240
1164a6503204
122b46340214
1315855a6aa4
14a44340c24
155e067b07a
hex38aac0930

15211432240 has 80 divisors (see below), whose sum is σ = 35870739840. Its totient is φ = 5998361600.

The previous prime is 15211432213. The next prime is 15211432259. The reversal of 15211432240 is 4223411251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×152114322402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 1927182 + ... + 1935058.

It is an arithmetic number, because the mean of its divisors is an integer number (448384248).

Almost surely, 215211432240 is an apocalyptic number.

15211432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15211432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17935369920).

15211432240 is an abundant number, since it is smaller than the sum of its proper divisors (20659307600).

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

15211432240 is a wasteful number, since it uses less digits than its factorization.

15211432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 15211432240 its reverse (4223411251), we get a palindrome (19434843491).

The spelling of 15211432240 in words is "fifteen billion, two hundred eleven million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 239 404 478 505 808 956 1010 1195 1616 1912 2020 2390 3824 4040 4780 7877 8080 9560 15754 19120 24139 31508 39385 48278 63016 78770 96556 120695 126032 157540 193112 241390 315080 386224 482780 630160 795577 965560 1591154 1882603 1931120 3182308 3765206 3977885 6364616 7530412 7955770 9413015 12729232 15060824 15911540 18826030 30121648 31823080 37652060 63646160 75304120 150608240 190142903 380285806 760571612 950714515 1521143224 1901429030 3042286448 3802858060 7605716120 15211432240