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11769680 = 2451311317
BaseRepresentation
bin101100111001…
…011101010000
3211010221222002
4230321131100
511003112210
61100133132
7202016636
oct54713520
924127862
1011769680
11670980a
123b371a8
132591210
1417c5356
1510774a5
hexb39750

11769680 has 40 divisors (see below), whose sum is σ = 29472072. Its totient is φ = 4345344.

The previous prime is 11769643. The next prime is 11769691. The reversal of 11769680 is 8696711.

11769680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2085136 + 9684544 = 1444^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 4619 + ... + 6698.

Almost surely, 211769680 is an apocalyptic number.

11769680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11769680 is an abundant number, since it is smaller than the sum of its proper divisors (17702392).

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

11769680 is a wasteful number, since it uses less digits than its factorization.

11769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 11769680 is about 3430.6967222417. The cubic root of 11769680 is about 227.4686508347.

The spelling of 11769680 in words is "eleven million, seven hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 11317 22634 45268 56585 90536 113170 147121 181072 226340 294242 452680 588484 735605 905360 1176968 1471210 2353936 2942420 5884840 11769680