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142106240 = 275222041
BaseRepresentation
bin10000111100001…
…01111010000000
3100220101202010002
420132011322000
5242334344430
622033455132
73343611623
oct1036057200
9326352102
10142106240
1173240581
123b7114a8
1323596c43
1414c31dba
15c720845
hex8785e80

142106240 has 32 divisors (see below), whose sum is σ = 339724260. Its totient is φ = 56842240.

The previous prime is 142106231. The next prime is 142106257. The reversal of 142106240 is 42601241.

It can be written as a sum of positive squares in 2 ways, for example, as 128504896 + 13601344 = 11336^2 + 3688^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110381 + ... + 111660.

Almost surely, 2142106240 is an apocalyptic number.

142106240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142106240 is an abundant number, since it is smaller than the sum of its proper divisors (197618020).

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

142106240 is an equidigital number, since it uses as much as digits as its factorization.

142106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222060 (or 222048 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 142106240 is about 11920.8321857159. The cubic root of 142106240 is about 521.8404213646.

Adding to 142106240 its reverse (42601241), we get a palindrome (184707481).

It can be divided in two parts, 14 and 2106240, that multiplied together give a triangular number (29487360 = T7679).

The spelling of 142106240 in words is "one hundred forty-two million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 222041 444082 888164 1110205 1776328 2220410 3552656 4440820 7105312 8881640 14210624 17763280 28421248 35526560 71053120 142106240