Search a number
-
+
142082016 = 2531480021
BaseRepresentation
bin10000111011111…
…11111111100000
3100220100111212220
420131333333200
5242333111031
622033151040
73343451166
oct1035777740
9326314786
10142082016
117322435a
123b6bb480
1323588bcb
1414c27236
15c718596
hex877ffe0

142082016 has 24 divisors (see below), whose sum is σ = 372965544. Its totient is φ = 47360640.

The previous prime is 142081999. The next prime is 142082023. The reversal of 142082016 is 610280241.

142082016 is digitally balanced in base 3, 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 (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 739915 + ... + 740106.

It is an arithmetic number, because the mean of its divisors is an integer number (15540231).

Almost surely, 2142082016 is an apocalyptic number.

142082016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142082016 is an abundant number, since it is smaller than the sum of its proper divisors (230883528).

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

142082016 is a wasteful number, since it uses less digits than its factorization.

142082016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480034 (or 1480026 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 142082016 is about 11919.8161059641. The cubic root of 142082016 is about 521.8107680087.

It can be divided in two parts, 1420 and 82016, that added together give a triangular number (83436 = T408).

The spelling of 142082016 in words is "one hundred forty-two million, eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1480021 2960042 4440063 5920084 8880126 11840168 17760252 23680336 35520504 47360672 71041008 142082016