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11630500 = 225373323
BaseRepresentation
bin101100010111…
…011110100100
3210212220001021
4230113132210
510434134000
61053140524
7200600110
oct54273644
923786037
1011630500
116624192
123a8a744
132542a6b
14178a740
15104b11a
hexb177a4

11630500 has 48 divisors (see below), whose sum is σ = 29038464. Its totient is φ = 3986400.

The previous prime is 11630497. The next prime is 11630501. The reversal of 11630500 is 503611.

It is not an unprimeable number, because it can be changed into a prime (11630501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1839 + ... + 5161.

It is an arithmetic number, because the mean of its divisors is an integer number (604968).

Almost surely, 211630500 is an apocalyptic number.

11630500 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 11630500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519232).

11630500 is an abundant number, since it is smaller than the sum of its proper divisors (17407964).

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

11630500 is a wasteful number, since it uses less digits than its factorization.

11630500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 11630500 is about 3410.3518880022. The cubic root of 11630500 is about 226.5684647657.

The spelling of 11630500 in words is "eleven million, six hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3323 3500 6646 13292 16615 23261 33230 46522 66460 83075 93044 116305 166150 232610 332300 415375 465220 581525 830750 1163050 1661500 2326100 2907625 5815250 11630500