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142032540 = 223513211863
BaseRepresentation
bin10000111011100…
…11111010011100
3100220021000000110
420131303322130
5242330020130
622032130020
73343154016
oct1035637234
9326230013
10142032540
11731a0171
123b696910
132356c530
1414c131b6
15c708ab0
hex8773e9c

142032540 has 96 divisors (see below), whose sum is σ = 430811136. Its totient is φ = 34755840.

The previous prime is 142032511. The next prime is 142032557. The reversal of 142032540 is 45230241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164149 + ... + 165011.

It is an arithmetic number, because the mean of its divisors is an integer number (4487616).

Almost surely, 2142032540 is an apocalyptic number.

142032540 is a gapful number since it is divisible by the number (10) 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 142032540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215405568).

142032540 is an abundant number, since it is smaller than the sum of its proper divisors (288778596).

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

142032540 is a wasteful number, since it uses less digits than its factorization.

142032540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 142032540 is about 11917.7405576728. The cubic root of 142032540 is about 521.7501924164.

Adding to 142032540 its reverse (45230241), we get a palindrome (187262781).

The spelling of 142032540 in words is "one hundred forty-two million, thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 211 260 390 422 633 780 844 863 1055 1266 1726 2110 2532 2589 2743 3165 3452 4220 4315 5178 5486 6330 8229 8630 10356 10972 11219 12660 12945 13715 16458 17260 22438 25890 27430 32916 33657 41145 44876 51780 54860 56095 67314 82290 112190 134628 164580 168285 182093 224380 336570 364186 546279 673140 728372 910465 1092558 1820930 2185116 2367209 2731395 3641860 4734418 5462790 7101627 9468836 10925580 11836045 14203254 23672090 28406508 35508135 47344180 71016270 142032540