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142710432 = 2538916703
BaseRepresentation
bin10001000000110…
…01011010100000
3100221112102220120
420200121122200
5243013213212
622054440240
73352006254
oct1040313240
9327472816
10142710432
1173613507
123b963080
1323748c57
1414d4c264
15c7de88c
hex88196a0

142710432 has 48 divisors (see below), whose sum is σ = 378846720. Its totient is φ = 47032832.

The previous prime is 142710413. The next prime is 142710433. The reversal of 142710432 is 234017241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142710433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 16895.

It is an arithmetic number, because the mean of its divisors is an integer number (7892640).

Almost surely, 2142710432 is an apocalyptic number.

142710432 is a gapful number since it is divisible by the number (12) 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 142710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

142710432 is an abundant number, since it is smaller than the sum of its proper divisors (236136288).

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

142710432 is a wasteful number, since it uses less digits than its factorization.

142710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16805 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 142710432 is about 11946.1471613236. The cubic root of 142710432 is about 522.5789439871.

Adding to 142710432 its reverse (234017241), we get a palindrome (376727673).

The spelling of 142710432 in words is "one hundred forty-two million, seven hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 16703 33406 50109 66812 100218 133624 200436 267248 400872 534496 801744 1486567 1603488 2973134 4459701 5946268 8919402 11892536 17838804 23785072 35677608 47570144 71355216 142710432