Search a number
-
+
11676620 = 2251761563
BaseRepresentation
bin101100100010…
…101111001100
3210222020022102
4230202233030
510442122440
61054134232
7201151424
oct54425714
923866272
1011676620
1166558aa
123ab1378
13255aa57
14179d484
151059b15
hexb22bcc

11676620 has 48 divisors (see below), whose sum is σ = 26435808. Its totient is φ = 4316160.

The previous prime is 11676619. The next prime is 11676641. The reversal of 11676620 is 2667611.

11676620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 20459 + ... + 21021.

It is an arithmetic number, because the mean of its divisors is an integer number (550746).

Almost surely, 211676620 is an apocalyptic number.

11676620 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 11676620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217904).

11676620 is an abundant number, since it is smaller than the sum of its proper divisors (14759188).

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

11676620 is a wasteful number, since it uses less digits than its factorization.

11676620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 11676620 is about 3417.1069635000. The cubic root of 11676620 is about 226.8675506715.

Subtracting from 11676620 its reverse (2667611), we obtain a palindrome (9009009).

The spelling of 11676620 in words is "eleven million, six hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 563 610 1037 1126 1220 2074 2252 2815 4148 5185 5630 9571 10370 11260 19142 20740 34343 38284 47855 68686 95710 137372 171715 191420 343430 583831 686860 1167662 2335324 2919155 5838310 11676620