Search a number
-
+
10913880 = 2335103883
BaseRepresentation
bin101001101000…
…100001011000
3202112111000210
4221220201120
510243221010
61025531120
7161523615
oct51504130
922474023
1010913880
11618483a
1237a3aa0
132351823
14164150c
15e58b20
hexa68858

10913880 has 64 divisors (see below), whose sum is σ = 33096960. Its totient is φ = 2878848.

The previous prime is 10913867. The next prime is 10913887. The reversal of 10913880 is 8831901.

It is a super-2 number, since 2×109138802 = 238225553308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10913887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11919 + ... + 12801.

It is an arithmetic number, because the mean of its divisors is an integer number (517140).

Almost surely, 210913880 is an apocalyptic number.

10913880 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 10913880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16548480).

10913880 is an abundant number, since it is smaller than the sum of its proper divisors (22183080).

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

10913880 is a wasteful number, since it uses less digits than its factorization.

10913880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 10913880 is about 3303.6162004688. The cubic root of 10913880 is about 221.8160963784.

The spelling of 10913880 in words is "ten million, nine hundred thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 883 1030 1236 1545 1766 2060 2472 2649 3090 3532 4120 4415 5298 6180 7064 8830 10596 12360 13245 17660 21192 26490 35320 52980 90949 105960 181898 272847 363796 454745 545694 727592 909490 1091388 1364235 1818980 2182776 2728470 3637960 5456940 10913880