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142155680 = 2552930637
BaseRepresentation
bin10000111100100…
…01111110100000
3100220111020221012
420132101332200
5242342440210
622034520052
73344206022
oct1036217640
9326436835
10142155680
1173274737
123b736028
13235b35b4
1414c46012
15c730305
hex8791fa0

142155680 has 48 divisors (see below), whose sum is σ = 347434920. Its totient is φ = 54899712.

The previous prime is 142155679. The next prime is 142155707. The reversal of 142155680 is 86551241.

142155680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 138203536 + 3952144 = 11756^2 + 1988^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10679 + ... + 19958.

Almost surely, 2142155680 is an apocalyptic number.

142155680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142155680 is an abundant number, since it is smaller than the sum of its proper divisors (205279240).

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

142155680 is a wasteful number, since it uses less digits than its factorization.

142155680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30681 (or 30673 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 142155680 is about 11922.9056861153. The cubic root of 142155680 is about 521.9009319587.

The spelling of 142155680 in words is "one hundred forty-two million, one hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 30637 61274 122548 153185 245096 306370 490192 612740 888473 980384 1225480 1776946 2450960 3553892 4442365 4901920 7107784 8884730 14215568 17769460 28431136 35538920 71077840 142155680