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13940900 = 2252139409
BaseRepresentation
bin110101001011…
…100010100100
3222020021022122
4311023202210
512032102100
61214445112
7226332011
oct65134244
928207278
1013940900
117962006
124803798
132b7156c
141bcc708
151355985
hexd4b8a4

13940900 has 18 divisors (see below), whose sum is σ = 30251970. Its totient is φ = 5576320.

The previous prime is 13940873. The next prime is 13940903. The reversal of 13940900 is 904931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 13853284 = 296^2 + 3722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13940900.

It is not an unprimeable number, because it can be changed into a prime (13940903) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 69605 + ... + 69804.

It is an arithmetic number, because the mean of its divisors is an integer number (1680665).

Almost surely, 213940900 is an apocalyptic number.

13940900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13940900 is an abundant number, since it is smaller than the sum of its proper divisors (16311070).

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

13940900 is a wasteful number, since it uses less digits than its factorization.

13940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139423 (or 139416 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 13940900 is about 3733.7514646800. The cubic root of 13940900 is about 240.6746066275.

The spelling of 13940900 in words is "thirteen million, nine hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139409 278818 557636 697045 1394090 2788180 3485225 6970450 13940900