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13040190 = 234517947
BaseRepresentation
bin110001101111…
…101000111110
3220112111210000
4301233220332
511314241230
61143255130
7215561022
oct61575076
926474700
1013040190
1173a7319
12444a4a6
1329175b7
141a36382
151228b60
hexc6fa3e

13040190 has 80 divisors (see below), whose sum is σ = 37165392. Its totient is φ = 3269376.

The previous prime is 13040189. The next prime is 13040219. The reversal of 13040190 is 9104031.

It is a super-2 number, since 2×130401902 = 340093110472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13297 + ... + 14243.

Almost surely, 213040190 is an apocalyptic number.

13040190 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 13040190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582696).

13040190 is an abundant number, since it is smaller than the sum of its proper divisors (24125202).

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

13040190 is a wasteful number, since it uses less digits than its factorization.

13040190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13040190 is about 3611.1203247746. The cubic root of 13040190 is about 235.3755275526.

The spelling of 13040190 in words is "thirteen million, forty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 947 1377 1530 1894 2295 2754 2841 4590 4735 5682 6885 8523 9470 13770 14205 16099 17046 25569 28410 32198 42615 48297 51138 76707 80495 85230 96594 127845 144891 153414 160990 241485 255690 289782 383535 434673 482970 724455 767070 869346 1304019 1448910 2173365 2608038 4346730 6520095 13040190