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13042900 = 22521379127
BaseRepresentation
bin110001110000…
…010011010100
3220112122111101
4301300103110
511314333100
61143315444
7215601643
oct61602324
926478441
1013042900
1173a9362
12444bb84
1329188c0
141a3735a
15122986a
hexc704d4

13042900 has 72 divisors (see below), whose sum is σ = 31109120. Its totient is φ = 4717440.

The previous prime is 13042891. The next prime is 13042901. The reversal of 13042900 is 924031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102637 + ... + 102763.

Almost surely, 213042900 is an apocalyptic number.

13042900 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 13042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554560).

13042900 is an abundant number, since it is smaller than the sum of its proper divisors (18066220).

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

13042900 is a wasteful number, since it uses less digits than its factorization.

13042900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13042900 is about 3611.4955350935. The cubic root of 13042900 is about 235.3918315967.

Adding to 13042900 its reverse (924031), we get a palindrome (13966931).

The spelling of 13042900 in words is "thirteen million, forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 79 100 127 130 158 254 260 316 325 395 508 635 650 790 1027 1270 1300 1580 1651 1975 2054 2540 3175 3302 3950 4108 5135 6350 6604 7900 8255 10033 10270 12700 16510 20066 20540 25675 33020 40132 41275 50165 51350 82550 100330 102700 130429 165100 200660 250825 260858 501650 521716 652145 1003300 1304290 2608580 3260725 6521450 13042900