Search a number
-
+
140213112 = 233134197113
BaseRepresentation
bin10000101101101…
…11101101111000
3100202211120020020
420112313231320
5241343304422
621525130440
73321535404
oct1026675570
9322746206
10140213112
1172168206
123ab59a20
1323083350
141489c104
15c49995c
hex85b7b78

140213112 has 128 divisors (see below), whose sum is σ = 394148160. Its totient is φ = 41287680.

The previous prime is 140213107. The next prime is 140213119. The reversal of 140213112 is 211312041.

It is a junction number, because it is equal to n+sod(n) for n = 140213091 and 140213100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140213119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240768 + ... + 1240880.

Almost surely, 2140213112 is an apocalyptic number.

140213112 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 140213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197074080).

140213112 is an abundant number, since it is smaller than the sum of its proper divisors (253935048).

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

140213112 is a wasteful number, since it uses less digits than its factorization.

140213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 140213112 is about 11841.1617673267. The cubic root of 140213112 is about 519.5127487058.

Adding to 140213112 its reverse (211312041), we get a palindrome (351525153).

The spelling of 140213112 in words is "one hundred forty million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 97 104 113 123 156 164 194 226 246 291 312 328 339 388 452 492 533 582 678 776 904 984 1066 1164 1261 1356 1469 1599 2132 2328 2522 2712 2938 3198 3783 3977 4264 4407 4633 5044 5876 6396 7566 7954 8814 9266 10088 10961 11752 11931 12792 13899 15132 15908 17628 18532 21922 23862 27798 30264 31816 32883 35256 37064 43844 47724 51701 55596 60229 65766 87688 95448 103402 111192 120458 131532 142493 155103 180687 206804 240916 263064 284986 310206 361374 413608 427479 449401 481832 569972 620412 722748 854958 898802 1139944 1240824 1348203 1445496 1709916 1797604 2696406 3419832 3595208 5392812 5842213 10785624 11684426 17526639 23368852 35053278 46737704 70106556 140213112