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2047144 = 231143541
BaseRepresentation
bin111110011110010101000
310212000011011
413303302220
51011002034
6111513304
723254231
oct7636250
93760134
102047144
111179060
12828834
13568a38
143b4088
152a6864
hex1f3ca8

2047144 has 32 divisors (see below), whose sum is σ = 4292640. Its totient is φ = 907200.

The previous prime is 2047141. The next prime is 2047159. The reversal of 2047144 is 4417402.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2047141) 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, 3514 + ... + 4054.

It is an arithmetic number, because the mean of its divisors is an integer number (134145).

22047144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146320).

2047144 is an abundant number, since it is smaller than the sum of its proper divisors (2245496).

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

2047144 is a wasteful number, since it uses less digits than its factorization.

2047144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2047144 is about 1430.7844002504. The cubic root of 2047144 is about 126.9743887843.

The spelling of 2047144 in words is "two million, forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 541 946 1082 1892 2164 3784 4328 5951 11902 23263 23804 46526 47608 93052 186104 255893 511786 1023572 2047144