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140032400 = 24521720593
BaseRepresentation
bin10000101100010…
…11100110010000
3100202111101100012
420112023212100
5241322014100
621521214052
73320153504
oct1026134620
9322441305
10140032400
1172054462
123aa91328
132301c011
1414852304
15c461135
hex858b990

140032400 has 60 divisors (see below), whose sum is σ = 356235012. Its totient is φ = 52715520.

The previous prime is 140032391. The next prime is 140032421. The reversal of 140032400 is 4230041.

It can be written as a sum of positive squares in 6 ways, for example, as 13424896 + 126607504 = 3664^2 + 11252^2 .

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 11 ways as a sum of consecutive naturals, for example, 3497 + ... + 17096.

Almost surely, 2140032400 is an apocalyptic number.

140032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140032400 is an abundant number, since it is smaller than the sum of its proper divisors (216202612).

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

140032400 is a wasteful number, since it uses less digits than its factorization.

140032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 140032400 is about 11833.5286368860. The cubic root of 140032400 is about 519.2894634785.

Adding to 140032400 its reverse (4230041), we get a palindrome (144262441).

The spelling of 140032400 in words is "one hundred forty million, thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 20593 41186 82372 102965 164744 205930 329488 350081 411860 514825 700162 823720 1029650 1400324 1647440 1750405 2059300 2800648 3500810 4118600 5601296 7001620 8237200 8752025 14003240 17504050 28006480 35008100 70016200 140032400