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13975500 = 223537113
BaseRepresentation
bin110101010011…
…111111001100
3222022000210010
4311103333030
512034204000
61215313220
7226534620
oct65237714
928260703
1013975500
117986000
12481b810
132b84236
141bdb180
151360d50
hexd53fcc

13975500 has 192 divisors, whose sum is σ = 51158016. Its totient is φ = 2904000.

The previous prime is 13975499. The next prime is 13975519. The reversal of 13975500 is 557931.

13975500 = T199 + T200 + ... + T450.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1270495 + ... + 1270505.

It is an arithmetic number, because the mean of its divisors is an integer number (266448).

Almost surely, 213975500 is an apocalyptic number.

13975500 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 13975500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25579008).

13975500 is an abundant number, since it is smaller than the sum of its proper divisors (37182516).

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

13975500 is a wasteful number, since it uses less digits than its factorization.

13975500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 13975500 is about 3738.3820029526. The cubic root of 13975500 is about 240.8735526938.

Subtracting from 13975500 its reverse (557931), we obtain a square (13417569 = 36632).

The spelling of 13975500 in words is "thirteen million, nine hundred seventy-five thousand, five hundred".