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142033104 = 24321099049
BaseRepresentation
bin10000111011101…
…00000011010000
3100220021000210100
420131310003100
5242330024404
622032132400
73343155453
oct1035640320
9326230710
10142033104
11731a0634
123b697100
132356c875
1414c1349a
15c708d39
hex87740d0

142033104 has 60 divisors (see below), whose sum is σ = 401186500. Its totient is φ = 46904832.

The previous prime is 142033091. The next prime is 142033127. The reversal of 142033104 is 401330241.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 33039504 = 10440^2 + 5748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11172 + ... + 20220.

Almost surely, 2142033104 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 142033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200593250).

142033104 is an abundant number, since it is smaller than the sum of its proper divisors (259153396).

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

142033104 is a wasteful number, since it uses less digits than its factorization.

142033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142033104 is about 11917.7642198526. The cubic root of 142033104 is about 521.7508830251.

Adding to 142033104 its reverse (401330241), we get a palindrome (543363345).

The spelling of 142033104 in words is "one hundred forty-two million, thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 436 654 872 981 1308 1744 1962 2616 3924 5232 7848 9049 15696 18098 27147 36196 54294 72392 81441 108588 144784 162882 217176 325764 434352 651528 986341 1303056 1972682 2959023 3945364 5918046 7890728 8877069 11836092 15781456 17754138 23672184 35508276 47344368 71016552 142033104