Search a number
-
+
140609952 = 2533767347
BaseRepresentation
bin10000110000110…
…00100110100000
3100210120201121000
420120120212200
5241444004302
621541432000
73325110360
oct1030304640
9323521530
10140609952
117240937a
123b10b600
1323191b72
14149629a0
15c52731c
hex86189a0

140609952 has 192 divisors, whose sum is σ = 477066240. Its totient is φ = 39460608.

The previous prime is 140609933. The next prime is 140609969. The reversal of 140609952 is 259906041.

140609952 is a `hidden beast` number, since 1 + 40 + 609 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405043 + ... + 405389.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 2140609952 is an apocalyptic number.

140609952 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 140609952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238533120).

140609952 is an abundant number, since it is smaller than the sum of its proper divisors (336456288).

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

140609952 is a wasteful number, since it uses less digits than its factorization.

140609952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 140609952 is about 11857.9067292672. The cubic root of 140609952 is about 520.0024063005.

The spelling of 140609952 in words is "one hundred forty million, six hundred nine thousand, nine hundred fifty-two".