Search a number
-
+
11149340 = 2252947409
BaseRepresentation
bin101010100010…
…000000011100
3202222110000112
4222202000130
510323234330
61034545152
7163524236
oct52420034
922873015
1011149340
116325734
1238981b8
132404a57
1416a3256
15ea3795
hexaa201c

11149340 has 48 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 4204032.

The previous prime is 11149339. The next prime is 11149357. The reversal of 11149340 is 4394111.

11149340 = T30 + T31 + ... + T405.

It is a congruent number.

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, 27056 + ... + 27464.

It is an arithmetic number, because the mean of its divisors is an integer number (516600).

Almost surely, 211149340 is an apocalyptic number.

11149340 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 11149340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

11149340 is an abundant number, since it is smaller than the sum of its proper divisors (13647460).

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

11149340 is a wasteful number, since it uses less digits than its factorization.

11149340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11149340 is about 3339.0627427468. The cubic root of 11149340 is about 223.3999405300.

The spelling of 11149340 in words is "eleven million, one hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 409 470 580 818 940 1363 1636 2045 2726 4090 5452 6815 8180 11861 13630 19223 23722 27260 38446 47444 59305 76892 96115 118610 192230 237220 384460 557467 1114934 2229868 2787335 5574670 11149340