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1381920 = 25352879
BaseRepresentation
bin101010001011000100000
32121012122020
411101120200
5323210140
645341440
714513631
oct5213040
92535566
101381920
11864291
12567880
13395007
1427d888
151c46d0
hex151620

1381920 has 48 divisors (see below), whose sum is σ = 4354560. Its totient is φ = 368384.

The previous prime is 1381907. The next prime is 1381921. The reversal of 1381920 is 291831.

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381921) 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 7 ways as a sum of consecutive naturals, for example, 960 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

21381920 is an apocalyptic number.

1381920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1381920 is the 960-th pentagonal number.

It is an amenable number.

1381920 is an abundant number, since it is smaller than the sum of its proper divisors (2972640).

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

1381920 is a wasteful number, since it uses less digits than its factorization.

1381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1381920 is about 1175.5509346685. The cubic root of 1381920 is about 111.3852372118.

The spelling of 1381920 in words is "one million, three hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2879 5758 8637 11516 14395 17274 23032 28790 34548 43185 46064 57580 69096 86370 92128 115160 138192 172740 230320 276384 345480 460640 690960 1381920