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142362864 = 24327141233
BaseRepresentation
bin10000111110001…
…00100011110000
3100220212210010200
420133010203300
5242421102424
622043155200
73346031040
oct1037044360
9326783120
10142362864
11733a6366
123b815b00
13236569a7
1414c9b720
15c7718c9
hex87c48f0

142362864 has 60 divisors (see below), whose sum is σ = 455338416. Its totient is φ = 40674816.

The previous prime is 142362863. The next prime is 142362889. The reversal of 142362864 is 468263241.

142362864 is a `hidden beast` number, since 1 + 4 + 23 + 628 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142362863) 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, 69609 + ... + 71624.

Almost surely, 2142362864 is an apocalyptic number.

142362864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142362864 is an abundant number, since it is smaller than the sum of its proper divisors (312975552).

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

142362864 is a wasteful number, since it uses less digits than its factorization.

142362864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141254 (or 141245 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 142362864 is about 11931.5910087465. The cubic root of 142362864 is about 522.1543560785.

The spelling of 142362864 in words is "one hundred forty-two million, three hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 141233 282466 423699 564932 847398 988631 1129864 1271097 1694796 1977262 2259728 2542194 2965893 3389592 3954524 5084388 5931786 6779184 7909048 8897679 10168776 11863572 15818096 17795358 20337552 23727144 35590716 47454288 71181432 142362864