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140432112 = 243223109389
BaseRepresentation
bin10000101111011…
…01001011110000
3100210020200122100
420113231023300
5241422311422
621533540400
73323440032
oct1027551360
9323220570
10140432112
11722a77a7
123b044700
132312bc32
1414917c52
15c4de7ac
hex85ed2f0

140432112 has 120 divisors (see below), whose sum is σ = 414928800. Its totient is φ = 44250624.

The previous prime is 140432101. The next prime is 140432113. The reversal of 140432112 is 211234041.

140432112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140432113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360814 + ... + 361202.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 2140432112 is an apocalyptic number.

140432112 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 140432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207464400).

140432112 is an abundant number, since it is smaller than the sum of its proper divisors (274496688).

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

140432112 is a wasteful number, since it uses less digits than its factorization.

140432112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140432112 is about 11850.4055626801. The cubic root of 140432112 is about 519.7830850702.

Adding to 140432112 its reverse (211234041), we get a palindrome (351666153).

The spelling of 140432112 in words is "one hundred forty million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 109 138 144 184 207 218 276 327 368 389 414 436 552 654 778 828 872 981 1104 1167 1308 1556 1656 1744 1962 2334 2507 2616 3112 3312 3501 3924 4668 5014 5232 6224 7002 7521 7848 8947 9336 10028 14004 15042 15696 17894 18672 20056 22563 26841 28008 30084 35788 40112 42401 45126 53682 56016 60168 71576 80523 84802 90252 107364 120336 127203 143152 161046 169604 180504 214728 254406 322092 339208 361008 381609 429456 508812 644184 678416 763218 975223 1017624 1288368 1526436 1950446 2035248 2925669 3052872 3900892 5851338 6105744 7801784 8777007 11702676 15603568 17554014 23405352 35108028 46810704 70216056 140432112