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140306832 = 24326115973
BaseRepresentation
bin10000101110011…
…10100110010000
3100210000022210100
420113032212100
5241404304312
621531132400
73322405551
oct1027164620
9323008710
10140306832
1172221666
123aba4100
13230b6bc3
14148c4328
15c4b75dc
hex85ce990

140306832 has 60 divisors (see below), whose sum is σ = 399126364. Its totient is φ = 45999360.

The previous prime is 140306827. The next prime is 140306833. The reversal of 140306832 is 238603041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 94012416 = 6804^2 + 9696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140306796 and 140306805.

It is not an unprimeable number, because it can be changed into a prime (140306833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 798 + ... + 16770.

Almost surely, 2140306832 is an apocalyptic number.

140306832 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 140306832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199563182).

140306832 is an abundant number, since it is smaller than the sum of its proper divisors (258819532).

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

140306832 is a wasteful number, since it uses less digits than its factorization.

140306832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16048 (or 16039 counting only the distinct ones).

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

The square root of 140306832 is about 11845.1184882212. The cubic root of 140306832 is about 519.6284722880.

Adding to 140306832 its reverse (238603041), we get a palindrome (378909873).

The spelling of 140306832 in words is "one hundred forty million, three hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 15973 31946 47919 63892 95838 127784 143757 191676 255568 287514 383352 575028 766704 974353 1150056 1948706 2300112 2923059 3897412 5846118 7794824 8769177 11692236 15589648 17538354 23384472 35076708 46768944 70153416 140306832