Search a number
-
+
1422160 = 24529613
BaseRepresentation
bin101011011001101010000
32200020211121
411123031100
5331002120
650252024
715042145
oct5331520
92606747
101422160
11891543
12587014
133aa41c
142903cc
151d15aa
hex15b350

1422160 has 40 divisors (see below), whose sum is σ = 3426120. Its totient is φ = 548352.

The previous prime is 1422133. The next prime is 1422163. The reversal of 1422160 is 612241.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 1420864 = 36^2 + 1192^2 .

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422163) 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, 2014 + ... + 2626.

It is an arithmetic number, because the mean of its divisors is an integer number (85653).

21422160 is an apocalyptic number.

1422160 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 1422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713060).

1422160 is an abundant number, since it is smaller than the sum of its proper divisors (2003960).

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

1422160 is a wasteful number, since it uses less digits than its factorization.

1422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1422160 is about 1192.5435002548. The cubic root of 1422160 is about 112.4560486750.

The spelling of 1422160 in words is "one million, four hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 613 1160 1226 2320 2452 3065 4904 6130 9808 12260 17777 24520 35554 49040 71108 88885 142216 177770 284432 355540 711080 1422160