Search a number
-
+
11259990 = 2325761293
BaseRepresentation
bin101010111101…
…000001010110
3210012001210200
4222331001112
510340304430
61041201330
7164464650
oct52750126
923161720
1011259990
1163a0885
123930246
132443221
1416d16d0
15ec6460
hexabd056

11259990 has 96 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2522880.

The previous prime is 11259977. The next prime is 11259991. The reversal of 11259990 is 9995211.

11259990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11259991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38284 + ... + 38576.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 211259990 is an apocalyptic number.

11259990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11259990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11259990 is an abundant number, since it is smaller than the sum of its proper divisors (22862826).

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

11259990 is a wasteful number, since it uses less digits than its factorization.

11259990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 11259990 is about 3355.5908570623. The cubic root of 11259990 is about 224.1365424956.

The spelling of 11259990 in words is "eleven million, two hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 293 305 315 366 427 549 586 610 630 854 879 915 1098 1281 1465 1758 1830 2051 2135 2562 2637 2745 2930 3843 4102 4270 4395 5274 5490 6153 6405 7686 8790 10255 12306 12810 13185 17873 18459 19215 20510 26370 30765 35746 36918 38430 53619 61530 89365 92295 107238 125111 160857 178730 184590 250222 268095 321714 375333 536190 625555 750666 804285 1125999 1251110 1608570 1876665 2251998 3753330 5629995 11259990