Search a number
-
+
11300988 = 22317311787
BaseRepresentation
bin101011000111…
…000001111100
3210021011001010
4223013001330
510343112423
61042115220
7165025326
oct53070174
923234033
1011300988
116419666
12394bb10
132458a9a
141702616
15ed3693
hexac707c

11300988 has 48 divisors (see below), whose sum is σ = 28836864. Its totient is φ = 3429120.

The previous prime is 11300987. The next prime is 11301007. The reversal of 11300988 is 88900311.

11300988 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 2×113009882 = 255424659552288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300983) 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, 5431 + ... + 7217.

It is an arithmetic number, because the mean of its divisors is an integer number (600768).

Almost surely, 211300988 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 11300988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14418432).

11300988 is an abundant number, since it is smaller than the sum of its proper divisors (17535876).

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

11300988 is a wasteful number, since it uses less digits than its factorization.

11300988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11300988 is about 3361.6942157192. The cubic root of 11300988 is about 224.4082425536.

The spelling of 11300988 in words is "eleven million, three hundred thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 1787 2108 3162 3574 5361 6324 7148 10722 21444 30379 55397 60758 91137 110794 121516 166191 182274 221588 332382 364548 664764 941749 1883498 2825247 3766996 5650494 11300988