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142254900 = 223352194759
BaseRepresentation
bin10000111101010…
…10001100110100
3100220200022001000
420132222030310
5242404124100
622041003300
73345101214
oct1036521464
9326608030
10142254900
1173332237
123b783530
13236197c8
1414c70244
15c74e900
hex87aa334

142254900 has 288 divisors, whose sum is σ = 499968000. Its totient is φ = 34577280.

The previous prime is 142254887. The next prime is 142254901. The reversal of 142254900 is 9452241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142254901) 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 95 ways as a sum of consecutive naturals, for example, 2411071 + ... + 2411129.

It is an arithmetic number, because the mean of its divisors is an integer number (1736000).

Almost surely, 2142254900 is an apocalyptic number.

142254900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142254900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

142254900 is an abundant number, since it is smaller than the sum of its proper divisors (357713100).

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

142254900 is a wasteful number, since it uses less digits than its factorization.

142254900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 142254900 is about 11927.0658587936. The cubic root of 142254900 is about 522.0223269615.

The spelling of 142254900 in words is "one hundred forty-two million, two hundred fifty-four thousand, nine hundred".