Search a number
-
+
11307700 = 2252731549
BaseRepresentation
bin101011001000…
…101010110100
3210021111020201
4223020222310
510343321300
61042210244
7165054025
oct53105264
923244221
1011307700
116423708
123953984
13245bb61
141704c4c
15ed566a
hexac8ab4

11307700 has 36 divisors (see below), whose sum is σ = 24889900. Its totient is φ = 4458240.

The previous prime is 11307691. The next prime is 11307719. The reversal of 11307700 is 770311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 404496 + 10903204 = 636^2 + 3302^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6526 + ... + 8074.

Almost surely, 211307700 is an apocalyptic number.

11307700 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 11307700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444950).

11307700 is an abundant number, since it is smaller than the sum of its proper divisors (13582200).

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

11307700 is a wasteful number, since it uses less digits than its factorization.

11307700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 11307700 is about 3362.6923736792. The cubic root of 11307700 is about 224.4526613845.

The spelling of 11307700 in words is "eleven million, three hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1549 1825 3098 3650 6196 7300 7745 15490 30980 38725 77450 113077 154900 226154 452308 565385 1130770 2261540 2826925 5653850 11307700