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140132016 = 24321397001
BaseRepresentation
bin10000101101000…
…11111010110000
3100202200102222200
420112203322300
5241333211031
621523303200
73321050103
oct1026437260
9322612880
10140132016
1172112292
123ab1ab00
132305546b
141487a73a
15c4808e6
hex85a3eb0

140132016 has 60 divisors (see below), whose sum is σ = 395052840. Its totient is φ = 46368000.

The previous prime is 140132009. The next prime is 140132023. The reversal of 140132016 is 610231041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140132009) and next prime (140132023).

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

It is a self number, because there is not a number n which added to its sum of digits gives 140132016.

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 11 ways as a sum of consecutive naturals, for example, 16516 + ... + 23516.

It is an arithmetic number, because the mean of its divisors is an integer number (6584214).

Almost surely, 2140132016 is an apocalyptic number.

140132016 is a gapful number since it is divisible by the number (16) 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 140132016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197526420).

140132016 is an abundant number, since it is smaller than the sum of its proper divisors (254920824).

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

140132016 is a wasteful number, since it uses less digits than its factorization.

140132016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 7145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140132016 is about 11837.7369458862. The cubic root of 140132016 is about 519.4125713631.

Adding to 140132016 its reverse (610231041), we get a palindrome (750363057).

The spelling of 140132016 in words is "one hundred forty million, one hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 7001 10008 14002 20016 21003 28004 42006 56008 63009 84012 112016 126018 168024 252036 336048 504072 973139 1008144 1946278 2919417 3892556 5838834 7785112 8758251 11677668 15570224 17516502 23355336 35033004 46710672 70066008 140132016