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13097700 = 2235527211
BaseRepresentation
bin110001111101…
…101011100100
3220122102200000
4301331223210
511323111300
61144421300
7216220500
oct61755344
926572600
1013097700
117436550
124477830
132937825
141a4d300
15123ac00
hexc7dae4

13097700 has 324 divisors, whose sum is σ = 54027792. Its totient is φ = 2721600.

The previous prime is 13097699. The next prime is 13097713. The reversal of 13097700 is 779031.

13097700 = T461 + T462 + ... + T560.

It is a tau number, because it is divible by the number of its divisors (324).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1190695 + ... + 1190705.

Almost surely, 213097700 is an apocalyptic number.

13097700 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 13097700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27013896).

13097700 is an abundant number, since it is smaller than the sum of its proper divisors (40930092).

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

13097700 is a wasteful number, since it uses less digits than its factorization.

13097700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 13097700 is about 3619.0744673190. The cubic root of 13097700 is about 235.7210387676.

It can be divided in two parts, 1309 and 7700, that added together give a palindrome (9009).

The spelling of 13097700 in words is "thirteen million, ninety-seven thousand, seven hundred".