Search a number
-
+
11780988 = 22319163317
BaseRepresentation
bin101100111100…
…001101111100
3211011112110220
4230330031330
511003442423
61100301340
7202064622
oct54741574
924145426
1011780988
11671725a
123b41850
1325963cb
1417c9512
15107a9e3
hexb3c37c

11780988 has 48 divisors (see below), whose sum is σ = 29205120. Its totient is φ = 3685824.

The previous prime is 11780971. The next prime is 11781001. The reversal of 11780988 is 88908711.

It is a super-2 number, since 2×117809882 = 277583356512288, 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, 37006 + ... + 37322.

It is an arithmetic number, because the mean of its divisors is an integer number (608440).

Almost surely, 211780988 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 11780988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14602560).

11780988 is an abundant number, since it is smaller than the sum of its proper divisors (17424132).

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

11780988 is a wasteful number, since it uses less digits than its factorization.

11780988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 42.

The square root of 11780988 is about 3432.3443883154. The cubic root of 11780988 is about 227.5414761557.

The spelling of 11780988 in words is "eleven million, seven hundred eighty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 317 326 489 634 652 951 978 1268 1902 1956 3097 3804 6023 6194 9291 12046 12388 18069 18582 24092 36138 37164 51671 72276 103342 155013 206684 310026 620052 981749 1963498 2945247 3926996 5890494 11780988