Search a number
-
+
140142132 = 223213614909
BaseRepresentation
bin10000101101001…
…10011000110100
3100202200221212100
420112212120310
5241334022012
621523422100
73321121434
oct1026463064
9322627770
10140142132
1172119949
123ab24930
1323059c50
14148802c4
15c4838dc
hex85a6634

140142132 has 72 divisors (see below), whose sum is σ = 387831080. Its totient is φ = 42405120.

The previous prime is 140142131. The next prime is 140142133. The reversal of 140142132 is 231241041.

It is an interprime number because it is at equal distance from previous prime (140142131) and next prime (140142133).

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 131882256 = 2874^2 + 11484^2 .

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 (140142131) 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, 26094 + ... + 31002.

Almost surely, 2140142132 is an apocalyptic number.

140142132 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 140142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193915540).

140142132 is an abundant number, since it is smaller than the sum of its proper divisors (247688948).

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

140142132 is a wasteful number, since it uses less digits than its factorization.

140142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4993 (or 4988 counting only the distinct ones).

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

The square root of 140142132 is about 11838.1642157895. The cubic root of 140142132 is about 519.4250696993.

Adding to 140142132 its reverse (231241041), we get a palindrome (371383173).

The spelling of 140142132 in words is "one hundred forty million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 4909 7137 9516 9818 14274 14727 19636 28548 29454 44181 58908 63817 88362 127634 176724 191451 255268 299449 382902 574353 598898 765804 898347 1148706 1197796 1796694 2297412 2695041 3593388 3892837 5390082 7785674 10780164 11678511 15571348 23357022 35035533 46714044 70071066 140142132