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142123032 = 2333897393
BaseRepresentation
bin10000111100010…
…10000000011000
3100220102121011000
420132022000120
5242340414112
622034105000
73344011602
oct1036120030
9326377130
10142123032
1173252157
123b71b160
13235a178c
1414c38172
15c7257dc
hex878a018

142123032 has 64 divisors (see below), whose sum is σ = 399276000. Its totient is φ = 46835712.

The previous prime is 142122991. The next prime is 142123039. The reversal of 142123032 is 230321241.

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

It is a junction number, because it is equal to n+sod(n) for n = 142122996 and 142123014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142123039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15528 + ... + 22920.

Almost surely, 2142123032 is an apocalyptic number.

142123032 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 142123032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199638000).

142123032 is an abundant number, since it is smaller than the sum of its proper divisors (257152968).

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

142123032 is a wasteful number, since it uses less digits than its factorization.

142123032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7487 counting only the distinct ones).

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

The square root of 142123032 is about 11921.5364781558. The cubic root of 142123032 is about 521.8609749993.

Adding to 142123032 its reverse (230321241), we get a palindrome (372444273).

The spelling of 142123032 in words is "one hundred forty-two million, one hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 3204 4806 6408 7393 9612 14786 19224 22179 29572 44358 59144 66537 88716 133074 177432 199611 266148 399222 532296 657977 798444 1315954 1596888 1973931 2631908 3947862 5263816 5921793 7895724 11843586 15791448 17765379 23687172 35530758 47374344 71061516 142123032