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13198680 = 23335112101
BaseRepresentation
bin110010010110…
…010101011000
3220211120012000
4302112111120
511334324210
61150521000
7220121055
oct62262530
926746160
1013198680
1174a5400
124506160
132971791
141a7802c
15125aac0
hexc96558

13198680 has 192 divisors, whose sum is σ = 48837600. Its totient is φ = 3168000.

The previous prime is 13198667. The next prime is 13198697. The reversal of 13198680 is 8689131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130630 + ... + 130730.

Almost surely, 213198680 is an apocalyptic number.

13198680 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 13198680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24418800).

13198680 is an abundant number, since it is smaller than the sum of its proper divisors (35638920).

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

13198680 is a wasteful number, since it uses less digits than its factorization.

13198680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13198680 is about 3632.9987613540. The cubic root of 13198680 is about 236.3252720592.

It can be divided in two parts, 1319 and 8680, that added together give a palindrome (9999).

The spelling of 13198680 in words is "thirteen million, one hundred ninety-eight thousand, six hundred eighty".