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140000432 = 241113431423
BaseRepresentation
bin10000101100000…
…11110010110000
3100202102202111012
420112003302300
5241320003212
621520410052
73316661345
oct1026036260
9322382435
10140000432
1172032440
123aa76928
132300a5c0
14148447cc
15c456922
hex8583cb0

140000432 has 80 divisors (see below), whose sum is σ = 326312448. Its totient is φ = 57335040.

The previous prime is 140000431. The next prime is 140000447. The reversal of 140000432 is 234000041.

140000432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140000431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97673 + ... + 99095.

Almost surely, 2140000432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163156224).

140000432 is an abundant number, since it is smaller than the sum of its proper divisors (186312016).

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

140000432 is a wasteful number, since it uses less digits than its factorization.

140000432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 140000432 is about 11832.1778215171. The cubic root of 140000432 is about 519.2499442697.

Adding to 140000432 its reverse (234000041), we get a palindrome (374000473).

The spelling of 140000432 in words is "one hundred forty million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 13 16 22 26 43 44 52 86 88 104 143 172 176 208 286 344 473 559 572 688 946 1118 1144 1423 1892 2236 2288 2846 3784 4472 5692 6149 7568 8944 11384 12298 15653 18499 22768 24596 31306 36998 49192 61189 62612 73996 98384 122378 125224 147992 203489 244756 250448 295984 406978 489512 673079 795457 813956 979024 1346158 1590914 1627912 2692316 3181828 3255824 5384632 6363656 8750027 10769264 12727312 17500054 35000108 70000216 140000432