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142662016 = 277891789
BaseRepresentation
bin10001000000011…
…01100110000000
3100221102222111101
420200031212000
5243010141031
622053424144
73351415150
oct1040154600
9327388441
10142662016
11735900a2
123b93b054
132372cbc3
1414d38760
15c7d0361
hex880d980

142662016 has 64 divisors (see below), whose sum is σ = 328644000. Its totient is φ = 60420096.

The previous prime is 142661971. The next prime is 142662019. The reversal of 142662016 is 610266241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142662019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78850 + ... + 80638.

Almost surely, 2142662016 is an apocalyptic number.

142662016 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 142662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164322000).

142662016 is an abundant number, since it is smaller than the sum of its proper divisors (185981984).

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

142662016 is an equidigital number, since it uses as much as digits as its factorization.

142662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 142662016 is about 11944.1205620171. The cubic root of 142662016 is about 522.5198405201.

The spelling of 142662016 in words is "one hundred forty-two million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 128 178 224 356 448 623 712 896 1246 1424 1789 2492 2848 3578 4984 5696 7156 9968 11392 12523 14312 19936 25046 28624 39872 50092 57248 79744 100184 114496 159221 200368 228992 318442 400736 636884 801472 1114547 1273768 1602944 2229094 2547536 4458188 5095072 8916376 10190144 17832752 20380288 35665504 71331008 142662016