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11680420 = 2253371733
BaseRepresentation
bin101100100011…
…101010100100
3210222102112011
4230203222210
510442233140
61054204004
7201165463
oct54435244
923872464
1011680420
116658744
123ab3604
13255c6bb
1417a09da
15105acea
hexb23aa4

11680420 has 24 divisors (see below), whose sum is σ = 24615864. Its totient is φ = 4655616.

The previous prime is 11680379. The next prime is 11680457. The reversal of 11680420 is 2408611.

It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 11329956 = 592^2 + 3366^2 .

It is a super-2 number, since 2×116804202 = 272864422752800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11680391 and 11680400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5874 + ... + 7606.

It is an arithmetic number, because the mean of its divisors is an integer number (1025661).

Almost surely, 211680420 is an apocalyptic number.

11680420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11680420 is an abundant number, since it is smaller than the sum of its proper divisors (12935444).

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

11680420 is a wasteful number, since it uses less digits than its factorization.

11680420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11680420 is about 3417.6629441769. The cubic root of 11680420 is about 226.8921583403.

It can be divided in two parts, 11680 and 420, that added together give a square (12100 = 1102).

The spelling of 11680420 in words is "eleven million, six hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 1733 3370 3466 6740 6932 8665 17330 34660 584021 1168042 2336084 2920105 5840210 11680420