Search a number
-
+
11857092 = 22313172263
BaseRepresentation
bin101101001110…
…110011000100
3211022101212120
4231032303010
511013411332
61102045540
7202532532
oct55166304
924271776
1011857092
116769455
123b798b0
1325c1c40
141809152
15109332c
hexb4ecc4

11857092 has 72 divisors (see below), whose sum is σ = 31770816. Its totient is φ = 3420672.

The previous prime is 11857091. The next prime is 11857093. The reversal of 11857092 is 29075811.

11857092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11857091) and next prime (11857093).

It is not an unprimeable number, because it can be changed into a prime (11857091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44953 + ... + 45215.

Almost surely, 211857092 is an apocalyptic number.

11857092 is a gapful number since it is divisible by the number (12) 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 11857092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885408).

11857092 is an abundant number, since it is smaller than the sum of its proper divisors (19913724).

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

11857092 is a wasteful number, since it uses less digits than its factorization.

11857092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 11857092 is about 3443.4128419346. The cubic root of 11857092 is about 228.0303899165.

The spelling of 11857092 in words is "eleven million, eight hundred fifty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 263 289 442 526 578 663 789 867 884 1052 1156 1326 1578 1734 2652 3156 3419 3468 3757 4471 6838 7514 8942 10257 11271 13413 13676 15028 17884 20514 22542 26826 41028 45084 53652 58123 76007 116246 152014 174369 228021 232492 304028 348738 456042 697476 912084 988091 1976182 2964273 3952364 5928546 11857092