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11164780 = 22511192671
BaseRepresentation
bin101010100101…
…110001101100
3210000020012101
4222211301230
510324233110
61035144444
7163620244
oct52456154
923006171
1011164780
1163362a0
1238a5124
13240baa3
1416a8b24
15ea813a
hexaa5c6c

11164780 has 48 divisors (see below), whose sum is σ = 26933760. Its totient is φ = 3844800.

The previous prime is 11164771. The next prime is 11164781. The reversal of 11164780 is 8746111.

11164780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164781) 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, 2845 + ... + 5515.

It is an arithmetic number, because the mean of its divisors is an integer number (561120).

Almost surely, 211164780 is an apocalyptic number.

11164780 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 11164780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466880).

11164780 is an abundant number, since it is smaller than the sum of its proper divisors (15768980).

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

11164780 is a wasteful number, since it uses less digits than its factorization.

11164780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 11164780 is about 3341.3739688936. The cubic root of 11164780 is about 223.5030170072.

The spelling of 11164780 in words is "eleven million, one hundred sixty-four thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2671 4180 5342 10684 13355 26710 29381 50749 53420 58762 101498 117524 146905 202996 253745 293810 507490 558239 587620 1014980 1116478 2232956 2791195 5582390 11164780