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142055440 = 2452337621
BaseRepresentation
bin10000111011110…
…01100000010000
3100220022011102121
420131321200100
5242331233230
622032424024
73343310542
oct1035714020
9326264377
10142055440
117320639a
123b6a8014
1323579a97
1414c1b692
15c71077a
hex8779810

142055440 has 40 divisors (see below), whose sum is σ = 331739928. Its totient is φ = 56570880.

The previous prime is 142055411. The next prime is 142055443. The reversal of 142055440 is 44550241.

It is a happy number.

142055440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 122235136 = 4452^2 + 11056^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (142055443) 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 7 ways as a sum of consecutive naturals, for example, 14830 + ... + 22450.

Almost surely, 2142055440 is an apocalyptic number.

142055440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142055440 is an abundant number, since it is smaller than the sum of its proper divisors (189684488).

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

142055440 is a wasteful number, since it uses less digits than its factorization.

142055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 142055440 is about 11918.7012715312. The cubic root of 142055440 is about 521.7782316186.

The spelling of 142055440 in words is "one hundred forty-two million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 233 466 932 1165 1864 2330 3728 4660 7621 9320 15242 18640 30484 38105 60968 76210 121936 152420 304840 609680 1775693 3551386 7102772 8878465 14205544 17756930 28411088 35513860 71027720 142055440