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11678964 = 22311103859
BaseRepresentation
bin101100100011…
…010011110100
3210222100112020
4230203103310
510442211324
61054153140
7201161313
oct54432364
923870466
1011678964
116657640
123ab27b0
13255bb3b
1417a027a
15105a679
hexb234f4

11678964 has 48 divisors (see below), whose sum is σ = 30051840. Its totient is φ = 3500640.

The previous prime is 11678959. The next prime is 11678981. The reversal of 11678964 is 46987611.

11678964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116789642 = 272796400226592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13167 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (626080).

Almost surely, 211678964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11678964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025920).

11678964 is an abundant number, since it is smaller than the sum of its proper divisors (18372876).

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

11678964 is a wasteful number, since it uses less digits than its factorization.

11678964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 11678964 is about 3417.4499264803. The cubic root of 11678964 is about 226.8827303485.

The spelling of 11678964 in words is "eleven million, six hundred seventy-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 859 1133 1236 1718 2266 2577 3399 3436 4532 5154 6798 9449 10308 13596 18898 28347 37796 56694 88477 113388 176954 265431 353908 530862 973247 1061724 1946494 2919741 3892988 5839482 11678964