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142308400 = 24521327367
BaseRepresentation
bin10000111101101…
…11010000110000
3100220210000102111
420132313100300
5242412332100
622042055104
73345413203
oct1036672060
9326700374
10142308400
1173369453
123b7aa494
1323637c70
1414c8593a
15c7606ba
hex87b7430

142308400 has 60 divisors (see below), whose sum is σ = 368209072. Its totient is φ = 52542720.

The previous prime is 142308391. The next prime is 142308403. The reversal of 142308400 is 4803241.

It is not an unprimeable number, because it can be changed into a prime (142308403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8484 + ... + 18883.

Almost surely, 2142308400 is an apocalyptic number.

142308400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142308400 is an abundant number, since it is smaller than the sum of its proper divisors (225900672).

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

142308400 is a wasteful number, since it uses less digits than its factorization.

142308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27398 (or 27387 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 142308400 is about 11929.3084460081. The cubic root of 142308400 is about 522.0877604289.

The spelling of 142308400 in words is "one hundred forty-two million, three hundred eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 27367 54734 109468 136835 218936 273670 355771 437872 547340 684175 711542 1094680 1368350 1423084 1778855 2189360 2736700 2846168 3557710 5473400 5692336 7115420 8894275 10946800 14230840 17788550 28461680 35577100 71154200 142308400