Search a number
-
+
15080016 = 2437371213
BaseRepresentation
bin111001100001…
…101001010000
31001101010220010
4321201221100
512330030031
61255114520
7242115030
oct71415120
931333803
1015080016
11856a926
125072a40
13317cbb3
1420078c0
1514cd246
hexe61a50

15080016 has 80 divisors (see below), whose sum is σ = 45762944. Its totient is φ = 4188672.

The previous prime is 15079991. The next prime is 15080033. The reversal of 15080016 is 61008051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 15079974 and 15080001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11826 + ... + 13038.

Almost surely, 215080016 is an apocalyptic number.

15080016 is a gapful number since it is divisible by the number (16) 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 15080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881472).

15080016 is an abundant number, since it is smaller than the sum of its proper divisors (30682928).

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

15080016 is a wasteful number, since it uses less digits than its factorization.

15080016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 15080016 is about 3883.2996278938. The cubic root of 15080016 is about 247.0589553687.

Adding to 15080016 its reverse (61008051), we get a palindrome (76088067).

The spelling of 15080016 in words is "fifteen million, eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1213 1554 1776 2072 2426 3108 3639 4144 4852 6216 7278 8491 9704 12432 14556 16982 19408 25473 29112 33964 44881 50946 58224 67928 89762 101892 134643 135856 179524 203784 269286 314167 359048 407568 538572 628334 718096 942501 1077144 1256668 1885002 2154288 2513336 3770004 5026672 7540008 15080016