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11845940 = 2251734841
BaseRepresentation
bin101101001100…
…000100110100
3211021211120112
4231030010310
511013032230
61101522152
7202455161
oct55140464
924254515
1011845940
116761037
123b73358
1325b9b42
141805068
15108ed95
hexb4c134

11845940 has 24 divisors (see below), whose sum is σ = 26340552. Its totient is φ = 4459520.

The previous prime is 11845909. The next prime is 11845969. The reversal of 11845940 is 4954811.

It can be written as a sum of positive squares in 4 ways, for example, as 850084 + 10995856 = 922^2 + 3316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11845897 and 11845906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17081 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (1097523).

Almost surely, 211845940 is an apocalyptic number.

11845940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11845940 is an abundant number, since it is smaller than the sum of its proper divisors (14494612).

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

11845940 is a wasteful number, since it uses less digits than its factorization.

11845940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34867 (or 34865 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11845940 is about 3441.7931373050. The cubic root of 11845940 is about 227.9588773685.

The spelling of 11845940 in words is "eleven million, eight hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 34841 69682 139364 174205 348410 592297 696820 1184594 2369188 2961485 5922970 11845940