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1375920 = 243357213
BaseRepresentation
bin101001111111010110000
32120220102000
411033322300
5323012140
645254000
714460300
oct5177260
92526360
101375920
1185a827
12564300
13392370
1427b600
151c2a30
hex14feb0

1375920 has 240 divisors, whose sum is σ = 5937120. Its totient is φ = 290304.

The previous prime is 1375901. The next prime is 1375921. The reversal of 1375920 is 295731.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1375921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105834 + ... + 105846.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

21375920 is an apocalyptic number.

1375920 is a gapful number since it is divisible by the number (10) 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 1375920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

1375920 is an abundant number, since it is smaller than the sum of its proper divisors (4561200).

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

1375920 is a wasteful number, since it uses less digits than its factorization.

1375920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1375920 is about 1172.9961636766. The cubic root of 1375920 is about 111.2237997469.

The spelling of 1375920 in words is "one million, three hundred seventy-five thousand, nine hundred twenty".