Search a number
-
+
11249406 = 23271937127
BaseRepresentation
bin101010111010…
…011011111110
3210011112021200
4222322123332
510334440111
61041040330
7164422050
oct52723376
923145250
1011249406
116393933
1239260a6
13243b46c
1416cb8d0
15ec3256
hexaba6fe

11249406 has 96 divisors (see below), whose sum is σ = 30351360. Its totient is φ = 2939328.

The previous prime is 11249383. The next prime is 11249411. The reversal of 11249406 is 60494211.

11249406 = T343 + T344 + ... + T475.

11249406 is a `hidden beast` number, since 11 + 249 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11249406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88515 + ... + 88641.

It is an arithmetic number, because the mean of its divisors is an integer number (316160).

Almost surely, 211249406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175680).

11249406 is an abundant number, since it is smaller than the sum of its proper divisors (19101954).

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

11249406 is a wasteful number, since it uses less digits than its factorization.

11249406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11249406 is about 3354.0134167889. The cubic root of 11249406 is about 224.0662936223.

The spelling of 11249406 in words is "eleven million, two hundred forty-nine thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 127 133 171 222 254 259 266 333 342 381 399 518 666 703 762 777 798 889 1143 1197 1406 1554 1778 2109 2286 2331 2394 2413 2667 4218 4662 4699 4826 4921 5334 6327 7239 8001 9398 9842 12654 14097 14478 14763 16002 16891 21717 28194 29526 32893 33782 42291 43434 44289 50673 65786 84582 88578 89281 98679 101346 152019 178562 197358 267843 296037 304038 535686 592074 624967 803529 1249934 1607058 1874901 3749802 5624703 11249406