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1427040 = 25325991
BaseRepresentation
bin101011100011001100000
32200111112100
411130121200
5331131130
650330400
715062316
oct5343140
92614470
101427040
1189517a
12589a00
133ac704
142920b6
151d2c60
hex15c660

1427040 has 72 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 380160.

The previous prime is 1427039. The next prime is 1427047. The reversal of 1427040 is 407241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

21427040 is an apocalyptic number.

1427040 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 1427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1427040 is an abundant number, since it is smaller than the sum of its proper divisors (3447648).

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

1427040 is a wasteful number, since it uses less digits than its factorization.

1427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1427040 is about 1194.5877950155. The cubic root of 1427040 is about 112.5845290641.

The spelling of 1427040 in words is "one million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 991 1440 1982 2973 3964 4955 5946 7928 8919 9910 11892 14865 15856 17838 19820 23784 29730 31712 35676 39640 44595 47568 59460 71352 79280 89190 95136 118920 142704 158560 178380 237840 285408 356760 475680 713520 1427040