Search a number
-
+
11740626 = 234232137
BaseRepresentation
bin101100110010…
…010111010010
3211002111010000
4230302113102
511001200001
61055350430
7201536142
oct54622722
924074100
1011740626
1166999a7
123b22416
132580c21
1417b8922
15106da86
hexb325d2

11740626 has 60 divisors (see below), whose sum is σ = 27701982. Its totient is φ = 3716064.

The previous prime is 11740577. The next prime is 11740633. The reversal of 11740626 is 62604711.

11740626 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9641025 + 2099601 = 3105^2 + 1449^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11740626.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 85630 + ... + 85766.

Almost surely, 211740626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11740626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13850991).

11740626 is an abundant number, since it is smaller than the sum of its proper divisors (15961356).

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

11740626 is a wasteful number, since it uses less digits than its factorization.

11740626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11740626 is about 3426.4596889501. The cubic root of 11740626 is about 227.2813243099.

The spelling of 11740626 in words is "eleven million, seven hundred forty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 137 138 162 207 274 411 414 529 621 822 1058 1233 1242 1587 1863 2466 3151 3174 3699 3726 4761 6302 7398 9453 9522 11097 14283 18906 22194 28359 28566 42849 56718 72473 85077 85698 144946 170154 217419 255231 434838 510462 652257 1304514 1956771 3913542 5870313 11740626