Search a number
-
+
1345920 = 2735701
BaseRepresentation
bin101001000100110000000
32112101020220
411020212000
5321032140
644503040
714303652
oct5104600
92471226
101345920
1183a234
1254aa80
13381804
142706d2
151b8bd0
hex148980

1345920 has 64 divisors (see below), whose sum is σ = 4296240. Its totient is φ = 358400.

The previous prime is 1345913. The next prime is 1345921. The reversal of 1345920 is 295431.

It is a tau number, because it is divible by the number of its divisors (64).

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 (1345921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570 + ... + 2270.

21345920 is an apocalyptic number.

1345920 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 1345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148120).

1345920 is an abundant number, since it is smaller than the sum of its proper divisors (2950320).

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

1345920 is an equidigital number, since it uses as much as digits as its factorization.

1345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1345920 is about 1160.1379228350. The cubic root of 1345920 is about 110.4094929875.

The spelling of 1345920 in words is "one million, three hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 701 960 1402 1920 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 21030 22432 28040 33648 42060 44864 56080 67296 84120 89728 112160 134592 168240 224320 269184 336480 448640 672960 1345920