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140646132 = 223411193167
BaseRepresentation
bin10000110001000…
…01011011110100
3100210122120020000
420120201123310
5242001134012
621542311300
73325321014
oct1030413364
9323576200
10140646132
1172433580
123b128530
13231a5483
1414971c44
15c532ddc
hex86216f4

140646132 has 240 divisors, whose sum is σ = 442337280. Its totient is φ = 38491200.

The previous prime is 140646119. The next prime is 140646133. The reversal of 140646132 is 231646041.

140646132 is a `hidden beast` number, since 1 + 4 + 0 + 646 + 13 + 2 = 666.

It is a super-2 number, since 2×1406461322 = 39562668893122848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140646096 and 140646105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140646133) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2099163 + ... + 2099229.

It is an arithmetic number, because the mean of its divisors is an integer number (1843072).

Almost surely, 2140646132 is an apocalyptic number.

140646132 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 140646132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221168640).

140646132 is an abundant number, since it is smaller than the sum of its proper divisors (301691148).

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

140646132 is a wasteful number, since it uses less digits than its factorization.

140646132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 140646132 is about 11859.4321955143. The cubic root of 140646132 is about 520.0470026547.

Subtracting 140646132 from its reverse (231646041), we obtain a palindrome (90999909).

The spelling of 140646132 in words is "one hundred forty million, six hundred forty-six thousand, one hundred thirty-two".