Search a number
-
+
11625540 = 2235712729
BaseRepresentation
bin101100010110…
…010001000100
3210212122020120
4230112101010
510434004130
61053101540
7200546463
oct54262104
923778216
1011625540
116620493
123a878b0
132540724
1417889da
151049910
hexb16444

11625540 has 48 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3055360.

The previous prime is 11625533. The next prime is 11625571. The reversal of 11625540 is 4552611.

It is a self number, because there is not a number n which added to its sum of digits gives 11625540.

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, 2896 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 211625540 is an apocalyptic number.

11625540 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 11625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11625540 is an abundant number, since it is smaller than the sum of its proper divisors (21396540).

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

11625540 is a wasteful number, since it uses less digits than its factorization.

11625540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 11625540 is about 3409.6246127690. The cubic root of 11625540 is about 226.5362523537.

The spelling of 11625540 in words is "eleven million, six hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 2729 4260 5458 8187 10916 13645 16374 27290 32748 40935 54580 81870 163740 193759 387518 581277 775036 968795 1162554 1937590 2325108 2906385 3875180 5812770 11625540