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140296032 = 25321672917
BaseRepresentation
bin10000101110010…
…11111101100000
3100202222202222100
420113023331200
5241403433112
621531010400
73322332222
oct1027137540
9322882870
10140296032
1172214538
123ab99a00
13230b2006
14148c0412
15c4b42dc
hex85cbf60

140296032 has 72 divisors (see below), whose sum is σ = 401493456. Its totient is φ = 46469376.

The previous prime is 140296031. The next prime is 140296033. The reversal of 140296032 is 230692041.

140296032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140296031) and next prime (140296033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 140295987 and 140296005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140296031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46638 + ... + 49554.

It is an arithmetic number, because the mean of its divisors is an integer number (5576298).

Almost surely, 2140296032 is an apocalyptic number.

140296032 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 140296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200746728).

140296032 is an abundant number, since it is smaller than the sum of its proper divisors (261197424).

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

140296032 is a wasteful number, since it uses less digits than its factorization.

140296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 140296032 is about 11844.6625954478. The cubic root of 140296032 is about 519.6151392915.

The spelling of 140296032 in words is "one hundred forty million, two hundred ninety-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 501 668 1002 1336 1503 2004 2672 2917 3006 4008 5344 5834 6012 8016 8751 11668 12024 16032 17502 23336 24048 26253 35004 46672 48096 52506 70008 93344 105012 140016 210024 280032 420048 487139 840096 974278 1461417 1948556 2922834 3897112 4384251 5845668 7794224 8768502 11691336 15588448 17537004 23382672 35074008 46765344 70148016 140296032