Search a number
-
+
12516840 = 2332574967
BaseRepresentation
bin101111101111…
…110111101000
3212112220212200
4233233313220
511201014330
61124140200
7211251150
oct57576750
925486780
1012516840
11707a0a6
124237660
13279331b
14193b760
151173a60
hexbefde8

12516840 has 96 divisors (see below), whose sum is σ = 46500480. Its totient is φ = 2860416.

The previous prime is 12516821. The next prime is 12516857. The reversal of 12516840 is 4861521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (484380).

Almost surely, 212516840 is an apocalyptic number.

12516840 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 12516840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23250240).

12516840 is an abundant number, since it is smaller than the sum of its proper divisors (33983640).

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

12516840 is a wasteful number, since it uses less digits than its factorization.

12516840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12516840 is about 3537.9146400104. The cubic root of 12516840 is about 232.1836140556.

The spelling of 12516840 in words is "twelve million, five hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 4967 9934 14901 19868 24835 29802 34769 39736 44703 49670 59604 69538 74505 89406 99340 104307 119208 139076 149010 173845 178812 198680 208614 223515 278152 298020 312921 347690 357624 417228 447030 521535 596040 625842 695380 834456 894060 1043070 1251684 1390760 1564605 1788120 2086140 2503368 3129210 4172280 6258420 12516840