Search a number
-
+
10980060 = 22357132011
BaseRepresentation
bin101001111000…
…101011011100
3202122211210220
4221320223130
510302330220
61031201340
7162220560
oct51705334
922584726
1010980060
11621a533
123816250
1323759a0
14165b6a0
15e6d540
hexa78adc

10980060 has 96 divisors (see below), whose sum is σ = 37857792. Its totient is φ = 2315520.

The previous prime is 10980059. The next prime is 10980071. The reversal of 10980060 is 6008901.

It is a self number, because there is not a number n which added to its sum of digits gives 10980060.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4455 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (394352).

Almost surely, 210980060 is an apocalyptic number.

10980060 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 10980060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928896).

10980060 is an abundant number, since it is smaller than the sum of its proper divisors (26877732).

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

10980060 is a wasteful number, since it uses less digits than its factorization.

10980060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10980060 is about 3313.6173587184. The cubic root of 10980060 is about 222.2635454634.

Adding to 10980060 its reverse (6008901), we get a palindrome (16988961).

The spelling of 10980060 in words is "ten million, nine hundred eighty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2011 2730 4022 5460 6033 8044 10055 12066 14077 20110 24132 26143 28154 30165 40220 42231 52286 56308 60330 70385 78429 84462 104572 120660 130715 140770 156858 168924 183001 211155 261430 281540 313716 366002 392145 422310 522860 549003 732004 784290 844620 915005 1098006 1568580 1830010 2196012 2745015 3660020 5490030 10980060