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140894112 = 25310314249
BaseRepresentation
bin10000110010111…
…01111110100000
3100211010011101110
420121131332200
5242032102422
621551503320
73330403002
oct1031357640
9324104343
10140894112
1172592917
123b227b40
13232612c8
14149d8372
15c58160c
hex865dfa0

140894112 has 48 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 46505472.

The previous prime is 140894107. The next prime is 140894119. The reversal of 140894112 is 211498041.

140894112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140894112.

It is not an unprimeable number, because it can be changed into a prime (140894119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2764 + ... + 17012.

It is an arithmetic number, because the mean of its divisors is an integer number (7780500).

Almost surely, 2140894112 is an apocalyptic number.

140894112 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 140894112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186732000).

140894112 is an abundant number, since it is smaller than the sum of its proper divisors (232569888).

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

140894112 is a wasteful number, since it uses less digits than its factorization.

140894112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 140894112 is about 11869.8825604974. The cubic root of 140894112 is about 520.3524632112.

The spelling of 140894112 in words is "one hundred forty million, eight hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 14249 28498 42747 56996 85494 113992 170988 227984 341976 455968 683952 1367904 1467647 2935294 4402941 5870588 8805882 11741176 17611764 23482352 35223528 46964704 70447056 140894112