Search a number
-
+
1431920 = 24572557
BaseRepresentation
bin101011101100101110000
32200202020002
411131211300
5331310140
650405132
715112460
oct5354560
92622202
101431920
11898906
125907a8
133b19b9
14293ba0
151d4415
hex15d970

1431920 has 40 divisors (see below), whose sum is σ = 3806304. Its totient is φ = 490752.

The previous prime is 1431919. The next prime is 1431923. The reversal of 1431920 is 291341.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1431892 and 1431901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 1838.

21431920 is an apocalyptic number.

1431920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431920 is an abundant number, since it is smaller than the sum of its proper divisors (2374384).

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

1431920 is a wasteful number, since it uses less digits than its factorization.

1431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1431920 is about 1196.6285973517. The cubic root of 1431920 is about 112.7127168794.

The spelling of 1431920 in words is "one million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2557 5114 10228 12785 17899 20456 25570 35798 40912 51140 71596 89495 102280 143192 178990 204560 286384 357980 715960 1431920