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13000140 = 2232572223
BaseRepresentation
bin110001100101…
…110111001100
3220110110211200
4301211313030
511312001030
61142345500
7215333166
oct61456714
926413750
1013000140
11737a21a
12442b290
1329022ba
141a25936
15121bd60
hexc65dcc

13000140 has 36 divisors (see below), whose sum is σ = 39434304. Its totient is φ = 3466656.

The previous prime is 13000139. The next prime is 13000159. The reversal of 13000140 is 4100031.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35932 + ... + 36291.

Almost surely, 213000140 is an apocalyptic number.

13000140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000140 is an abundant number, since it is smaller than the sum of its proper divisors (26434164).

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

13000140 is a wasteful number, since it uses less digits than its factorization.

13000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72238 (or 72233 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13000140 is about 3605.5706899186. The cubic root of 13000140 is about 235.1343128379.

Adding to 13000140 its reverse (4100031), we get a palindrome (17100171).

The spelling of 13000140 in words is "thirteen million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 72223 144446 216669 288892 361115 433338 650007 722230 866676 1083345 1300014 1444460 2166690 2600028 3250035 4333380 6500070 13000140