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140142400 = 265287589
BaseRepresentation
bin10000101101001…
…10011101000000
3100202200222020021
420112212131000
5241334024100
621523423224
73321122266
oct1026463500
9322628207
10140142400
117211a072
123ab24b14
132305a0c8
1414880436
15c483a1a
hex85a6740

140142400 has 42 divisors (see below), whose sum is σ = 344841830. Its totient is φ = 56056320.

The previous prime is 140142377. The next prime is 140142403. The reversal of 140142400 is 4241041.

It can be written as a sum of positive squares in 3 ways, for example, as 2408704 + 137733696 = 1552^2 + 11736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140142403) 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, 42195 + ... + 45394.

Almost surely, 2140142400 is an apocalyptic number.

140142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140142400 is an abundant number, since it is smaller than the sum of its proper divisors (204699430).

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

140142400 is an equidigital number, since it uses as much as digits as its factorization.

140142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87611 (or 87596 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 140142400 is about 11838.1755351068. The cubic root of 140142400 is about 519.4254008056.

Adding to 140142400 its reverse (4241041), we get a palindrome (144383441).

The spelling of 140142400 in words is "one hundred forty million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 87589 175178 350356 437945 700712 875890 1401424 1751780 2189725 2802848 3503560 4379450 5605696 7007120 8758900 14014240 17517800 28028480 35035600 70071200 140142400