Search a number
-
+
11147490 = 2335194153
BaseRepresentation
bin101010100001…
…100011100010
3202222100111000
4222201203202
510323204430
61034532430
7163515654
oct52414342
922870430
1011147490
116324302
123897116
132403c63
1416a26d4
15ea2e60
hexaa18e2

11147490 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2695680.

The previous prime is 11147483. The next prime is 11147501. The reversal of 11147490 is 9474111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210304 + ... + 210356.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 211147490 is an apocalyptic number.

11147490 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 11147490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11147490 is an abundant number, since it is smaller than the sum of its proper divisors (21511710).

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

11147490 is a wasteful number, since it uses less digits than its factorization.

11147490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11147490 is about 3338.7857074092. The cubic root of 11147490 is about 223.3875836625.

The spelling of 11147490 in words is "eleven million, one hundred forty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 41 45 53 54 57 82 90 95 106 114 123 135 159 171 190 205 246 265 270 285 318 342 369 410 477 513 530 570 615 738 779 795 855 954 1007 1026 1107 1230 1431 1558 1590 1710 1845 2014 2173 2214 2337 2385 2565 2862 3021 3690 3895 4346 4674 4770 5035 5130 5535 6042 6519 7011 7155 7790 9063 10070 10865 11070 11685 13038 14022 14310 15105 18126 19557 21033 21730 23370 27189 30210 32595 35055 39114 41287 42066 45315 54378 58671 65190 70110 82574 90630 97785 105165 117342 123861 135945 195570 206435 210330 247722 271890 293355 371583 412870 586710 619305 743166 1114749 1238610 1857915 2229498 3715830 5573745 11147490