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1923072 = 2113313
BaseRepresentation
bin111010101100000000000
310121200221220
413111200000
5443014242
6105115040
722226424
oct7254000
93550856
101923072
1110a3918
12788a80
13524418
14380b84
1527ebec
hex1d5800

1923072 has 48 divisors (see below), whose sum is σ = 5143320. Its totient is φ = 638976.

The previous prime is 1923059. The next prime is 1923073. The reversal of 1923072 is 2703291.

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

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 (1923073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5988 + ... + 6300.

21923072 is an apocalyptic number.

1923072 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 1923072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571660).

1923072 is an abundant number, since it is smaller than the sum of its proper divisors (3220248).

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

1923072 is an equidigital number, since it uses as much as digits as its factorization.

1923072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1923072 is about 1386.7487155213. The cubic root of 1923072 is about 124.3555525429.

It can be divided in two parts, 192 and 3072, that multiplied together give a square (589824 = 7682).

The spelling of 1923072 in words is "one million, nine hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 512 626 768 939 1024 1252 1536 1878 2048 2504 3072 3756 5008 6144 7512 10016 15024 20032 30048 40064 60096 80128 120192 160256 240384 320512 480768 641024 961536 1923072