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11683880 = 2351322469
BaseRepresentation
bin101100100100…
…100000101000
3210222121021022
4230210200220
510442341010
61054232012
7201211535
oct54444050
923877238
1011683880
1166602aa
123ab5608
132561150
1417a1d8c
15105bd55
hexb24828

11683880 has 32 divisors (see below), whose sum is σ = 28312200. Its totient is φ = 4313856.

The previous prime is 11683877. The next prime is 11683883. The reversal of 11683880 is 8838611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11683877) and next prime (11683883).

It can be written as a sum of positive squares in 4 ways, for example, as 8773444 + 2910436 = 2962^2 + 1706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11683880.

It is not an unprimeable number, because it can be changed into a prime (11683883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10715 + ... + 11754.

Almost surely, 211683880 is an apocalyptic number.

11683880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11683880 is an abundant number, since it is smaller than the sum of its proper divisors (16628320).

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

11683880 is a wasteful number, since it uses less digits than its factorization.

11683880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22493 (or 22489 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 11683880 is about 3418.1691005566. The cubic root of 11683880 is about 226.9145596285.

The spelling of 11683880 in words is "eleven million, six hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 22469 44938 89876 112345 179752 224690 292097 449380 584194 898760 1168388 1460485 2336776 2920970 5841940 11683880