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142857072 = 24321317573
BaseRepresentation
bin10001000001111…
…01001101110000
3100221210220001200
420200331031300
5243032411242
622101531200
73353156631
oct1040751560
9327726050
10142857072
11737036a6
123ba13b00
132379a917
1414d89888
15c81d04c
hex883d370

142857072 has 60 divisors (see below), whose sum is σ = 402906504. Its totient is φ = 47249280.

The previous prime is 142857061. The next prime is 142857073. The reversal of 142857072 is 270758241.

142857072 is a `hidden beast` number, since 14 + 2 + 8 + 570 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142857073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15078 + ... + 22650.

Almost surely, 2142857072 is an apocalyptic number.

142857072 is a gapful number since it is divisible by the number (12) 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 142857072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201453252).

142857072 is an abundant number, since it is smaller than the sum of its proper divisors (260049432).

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

142857072 is a wasteful number, since it uses less digits than its factorization.

142857072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 142857072 is about 11952.2831291766. The cubic root of 142857072 is about 522.7578721454.

The spelling of 142857072 in words is "one hundred forty-two million, eight hundred fifty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 7573 9432 15146 18864 22719 30292 45438 60584 68157 90876 121168 136314 181752 272628 363504 545256 992063 1090512 1984126 2976189 3968252 5952378 7936504 8928567 11904756 15873008 17857134 23809512 35714268 47619024 71428536 142857072