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11625040 = 245720759
BaseRepresentation
bin101100010110…
…001001010000
3210212121120001
4230112021100
510434000130
61053055344
7200545150
oct54261120
923777501
1011625040
116620079
123a87554
13254042b
141788760
1510496ca
hexb16250

11625040 has 40 divisors (see below), whose sum is σ = 30890880. Its totient is φ = 3985536.

The previous prime is 11625023. The next prime is 11625041. The reversal of 11625040 is 4052611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11624999 and 11625017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9820 + ... + 10939.

It is an arithmetic number, because the mean of its divisors is an integer number (772272).

Almost surely, 211625040 is an apocalyptic number.

11625040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625040 is an abundant number, since it is smaller than the sum of its proper divisors (19265840).

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

11625040 is a wasteful number, since it uses less digits than its factorization.

11625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20779 (or 20773 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11625040 is about 3409.5512901260. The cubic root of 11625040 is about 226.5330046264.

Adding to 11625040 its reverse (4052611), we get a palindrome (15677651).

The spelling of 11625040 in words is "eleven million, six hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 20759 41518 83036 103795 145313 166072 207590 290626 332144 415180 581252 726565 830360 1162504 1453130 1660720 2325008 2906260 5812520 11625040