Search a number
-
+
142059456 = 26327113203
BaseRepresentation
bin10000111011110…
…10011111000000
3100220022100221100
420131322133000
5242331400311
622032454400
73343325340
oct1035723700
9326270840
10142059456
1173209410
123b6aa400
132357b866
1414c1cd20
15c711a56
hex877a7c0

142059456 has 168 divisors, whose sum is σ = 507821184. Its totient is φ = 36887040.

The previous prime is 142059443. The next prime is 142059457. The reversal of 142059456 is 654950241.

142059456 is a `hidden beast` number, since 14 + 2 + 0 + 594 + 56 = 666.

142059456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142059456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142059457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42751 + ... + 45953.

Almost surely, 2142059456 is an apocalyptic number.

142059456 is a gapful number since it is divisible by the number (16) 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 142059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253910592).

142059456 is an abundant number, since it is smaller than the sum of its proper divisors (365761728).

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

142059456 is a wasteful number, since it uses less digits than its factorization.

142059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 142059456 is about 11918.8697450723. The cubic root of 142059456 is about 521.7831485760.

The spelling of 142059456 in words is "one hundred forty-two million, fifty-nine thousand, four hundred fifty-six".