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2076144 = 243737167
BaseRepresentation
bin111111010110111110000
310220110221020
413322313300
51012414034
6112255440
723434620
oct7726760
93813836
102076144
111198924
12841580
13578cb5
143c0880
152b0249
hex1fadf0

2076144 has 80 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 573696.

The previous prime is 2076143. The next prime is 2076161. The reversal of 2076144 is 4416702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12349 + ... + 12515.

22076144 is an apocalyptic number.

2076144 is a gapful number since it is divisible by the number (24) 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 2076144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2076144 is an abundant number, since it is smaller than the sum of its proper divisors (4256784).

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

2076144 is a wasteful number, since it uses less digits than its factorization.

2076144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2076144 is about 1440.8830625696. The cubic root of 2076144 is about 127.5711559754.

The spelling of 2076144 in words is "two million, seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 167 168 222 259 296 334 336 444 501 518 592 668 777 888 1002 1036 1169 1336 1554 1776 2004 2072 2338 2672 3108 3507 4008 4144 4676 6179 6216 7014 8016 9352 12358 12432 14028 18537 18704 24716 28056 37074 43253 49432 56112 74148 86506 98864 129759 148296 173012 259518 296592 346024 519036 692048 1038072 2076144