Search a number
-
+
140737140 = 223251037591
BaseRepresentation
bin10000110001101…
…11101001110100
3100210211012001200
420120313221310
5242012042030
621544252500
73326150235
oct1030675164
9323735050
10140737140
1172495995
123b171130
1323207a1b
141499708c
15c54ed60
hex8637a74

140737140 has 72 divisors (see below), whose sum is σ = 431104128. Its totient is φ = 37160640.

The previous prime is 140737111. The next prime is 140737153. The reversal of 140737140 is 41737041.

140737140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14745 + ... + 22335.

Almost surely, 2140737140 is an apocalyptic number.

140737140 is a gapful number since it is divisible by the number (10) 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 140737140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215552064).

140737140 is an abundant number, since it is smaller than the sum of its proper divisors (290366988).

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

140737140 is a wasteful number, since it uses less digits than its factorization.

140737140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 140737140 is about 11863.2685209431. The cubic root of 140737140 is about 520.1591475399.

Subtracting from 140737140 its reverse (41737041), we obtain a palindrome (99000099).

The spelling of 140737140 in words is "one hundred forty million, seven hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 7591 9270 15182 18540 22773 30364 37955 45546 68319 75910 91092 113865 136638 151820 227730 273276 341595 455460 683190 781873 1366380 1563746 2345619 3127492 3909365 4691238 7036857 7818730 9382476 11728095 14073714 15637460 23456190 28147428 35184285 46912380 70368570 140737140