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142216400 = 2452355541
BaseRepresentation
bin10000111101000…
…00110011010000
3100220121100020002
420132200303100
5242401411100
622040105132
73344551034
oct1036406320
9326540202
10142216400
1173306317
123b7651a8
1323605121
1414c601c4
15c7432d5
hex87a0cd0

142216400 has 30 divisors (see below), whose sum is σ = 341675862. Its totient is φ = 56886400.

The previous prime is 142216397. The next prime is 142216427. The reversal of 142216400 is 4612241.

It can be written as a sum of positive squares in 3 ways, for example, as 2598544 + 139617856 = 1612^2 + 11816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 177371 + ... + 178170.

Almost surely, 2142216400 is an apocalyptic number.

142216400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142216400 is an abundant number, since it is smaller than the sum of its proper divisors (199459462).

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

142216400 is a wasteful number, since it uses less digits than its factorization.

142216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355559 (or 355548 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 142216400 is about 11925.4517734130. The cubic root of 142216400 is about 521.9752291745.

Adding to 142216400 its reverse (4612241), we get a palindrome (146828641).

The spelling of 142216400 in words is "one hundred forty-two million, two hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 355541 711082 1422164 1777705 2844328 3555410 5688656 7110820 8888525 14221640 17777050 28443280 35554100 71108200 142216400