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140216832 = 29357223
BaseRepresentation
bin10000101101110…
…00101000000000
3100202211202100000
420112320220000
5241343414312
621525200000
73321552300
oct1026705000
9322752300
10140216832
117216aa88
123ab60000
1323084c52
141489d600
15c49aadc
hex85b8a00

140216832 has 360 divisors, whose sum is σ = 509404896. Its totient is φ = 38320128.

The previous prime is 140216831. The next prime is 140216861. The reversal of 140216832 is 238612041.

It is a super-2 number, since 2×1402168322 = 39321519952232448, 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 = 140216796 and 140216805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140216831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6096373 + ... + 6096395.

Almost surely, 2140216832 is an apocalyptic number.

140216832 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 140216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

140216832 is an abundant number, since it is smaller than the sum of its proper divisors (369188064).

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

140216832 is an frugal number, since it uses more digits than its factorization.

140216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 140216832 is about 11841.3188454665. The cubic root of 140216832 is about 519.5173430700.

Adding to 140216832 its reverse (238612041), we get a palindrome (378828873).

The spelling of 140216832 in words is "one hundred forty million, two hundred sixteen thousand, eight hundred thirty-two".