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142406152 = 23721033527
BaseRepresentation
bin10000111110011…
…11001000001000
3100220221222111221
420133033020020
5242423444102
622044131424
73346301200
oct1037171010
9326858457
10142406152
1173425939
123b836b74
13236705c5
1414cad400
15c77e637
hex87cf208

142406152 has 48 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 60421536.

The previous prime is 142406149. The next prime is 142406167. The reversal of 142406152 is 251604241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38613 + ... + 42139.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2142406152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142406152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

142406152 is an abundant number, since it is smaller than the sum of its proper divisors (171303608).

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

142406152 is a wasteful number, since it uses less digits than its factorization.

142406152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 142406152 is about 11933.4048787427. The cubic root of 142406152 is about 522.2072742029.

The spelling of 142406152 in words is "one hundred forty-two million, four hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 2884 3527 5047 5768 7054 10094 14108 20188 24689 28216 40376 49378 98756 172823 197512 345646 363281 691292 726562 1382584 1453124 2542967 2906248 5085934 10171868 17800769 20343736 35601538 71203076 142406152