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140292 = 2234433
BaseRepresentation
bin100010010000000100
321010110000
4202100010
513442132
63001300
71123005
oct422004
9233400
10140292
1196449
1269230
134bb19
14391ac
152b87c
hex22404

140292 has 30 divisors (see below), whose sum is σ = 367598. Its totient is φ = 46656.

The previous prime is 140281. The next prime is 140297. The reversal of 140292 is 292041.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 46656 = 306^2 + 216^2 .

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 140292.

It is not an unprimeable number, because it can be changed into a prime (140297) by changing a digit.

140292 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 108 + ... + 540.

2140292 is an apocalyptic number.

140292 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 140292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183799).

140292 is an abundant number, since it is smaller than the sum of its proper divisors (227306).

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

140292 is a wasteful number, since it uses less digits than its factorization.

140292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140292 is about 374.5557368403. Note that the first 3 decimals coincide. The cubic root of 140292 is about 51.9610161464.

The spelling of 140292 in words is "one hundred forty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 433 866 1299 1732 2598 3897 5196 7794 11691 15588 23382 35073 46764 70146 140292