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13032140 = 22511371601
BaseRepresentation
bin110001101101…
…101011001100
3220112002201212
4301231223030
511314012030
61143153552
7215525402
oct61555314
926462655
1013032140
1173a1270
1244458b8
132913a34
141a33472
151226595
hexc6dacc

13032140 has 48 divisors (see below), whose sum is σ = 30681504. Its totient is φ = 4608000.

The previous prime is 13032133. The next prime is 13032143. The reversal of 13032140 is 4123031.

It is not an unprimeable number, because it can be changed into a prime (13032143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7340 + ... + 8940.

It is an arithmetic number, because the mean of its divisors is an integer number (639198).

Almost surely, 213032140 is an apocalyptic number.

13032140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340752).

13032140 is an abundant number, since it is smaller than the sum of its proper divisors (17649364).

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

13032140 is a wasteful number, since it uses less digits than its factorization.

13032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13032140 is about 3610.0055401620. The cubic root of 13032140 is about 235.3270833958.

Adding to 13032140 its reverse (4123031), we get a palindrome (17155171).

It can be divided in two parts, 1303 and 2140, that added together give a palindrome (3443).

The spelling of 13032140 in words is "thirteen million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1601 1628 2035 3202 4070 6404 8005 8140 16010 17611 32020 35222 59237 70444 88055 118474 176110 236948 296185 352220 592370 651607 1184740 1303214 2606428 3258035 6516070 13032140