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2040192 = 273271123
BaseRepresentation
bin111110010000110000000
310211122121200
413302012000
51010241232
6111421200
723225040
oct7620600
93748550
102040192
111173910
12824800
1356581b
143b1720
152a477c
hex1f2180

2040192 has 192 divisors, whose sum is σ = 7637760. Its totient is φ = 506880.

The previous prime is 2040191. The next prime is 2040193. The reversal of 2040192 is 2910402.

It is an interprime number because it is at equal distance from previous prime (2040191) and next prime (2040193).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88693 + ... + 88715.

It is an arithmetic number, because the mean of its divisors is an integer number (39780).

22040192 is an apocalyptic number.

2040192 is a gapful number since it is divisible by the number (22) 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 2040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818880).

2040192 is an abundant number, since it is smaller than the sum of its proper divisors (5597568).

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

2040192 is a wasteful number, since it uses less digits than its factorization.

2040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 46 counting only the distinct ones).

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

The square root of 2040192 is about 1428.3528975712. The cubic root of 2040192 is about 126.8304928539.

Adding to 2040192 its reverse (2910402), we get a palindrome (4950594).

The spelling of 2040192 in words is "two million, forty thousand, one hundred ninety-two".