Search a number
-
+
13148190 = 23351119233
BaseRepresentation
bin110010001010…
…000000011110
3220201222221000
4302022000132
511331220230
61145451130
7216520626
oct62120036
926658830
1013148190
117470480
1244a0aa6
1329547c3
141a63886
15124ab60
hexc8a01e

13148190 has 128 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 3006720.

The previous prime is 13148189. The next prime is 13148221. The reversal of 13148190 is 9184131.

It is a super-2 number, since 2×131481902 = 345749800552200, which contains 22 as substring.

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

It is a congruent number.

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, 56314 + ... + 56546.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 213148190 is an apocalyptic number.

13148190 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 13148190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

13148190 is an abundant number, since it is smaller than the sum of its proper divisors (27287010).

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

13148190 is a wasteful number, since it uses less digits than its factorization.

13148190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 13148190 is about 3626.0432981419. The cubic root of 13148190 is about 236.0235421310.

The spelling of 13148190 in words is "thirteen million, one hundred forty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 233 270 285 297 330 342 418 466 495 513 570 594 627 699 855 990 1026 1045 1165 1254 1398 1485 1710 1881 2090 2097 2330 2563 2565 2970 3135 3495 3762 4194 4427 5126 5130 5643 6270 6291 6990 7689 8854 9405 10485 11286 12582 12815 13281 15378 18810 20970 22135 23067 25630 26562 28215 31455 38445 39843 44270 46134 48697 56430 62910 66405 69201 76890 79686 97394 115335 119529 132810 138402 146091 199215 230670 239058 243485 292182 346005 398430 438273 486970 597645 692010 730455 876546 1195290 1314819 1460910 2191365 2629638 4382730 6574095 13148190