Search a number
-
+
425360 = 24513409
BaseRepresentation
bin1100111110110010000
3210121111002
41213312100
5102102420
613041132
73421055
oct1476620
9717432
10425360
11270641
121861a8
1311b7c0
14b102c
1586075
hex67d90

425360 has 40 divisors (see below), whose sum is σ = 1067640. Its totient is φ = 156672.

The previous prime is 425333. The next prime is 425363. The reversal of 425360 is 63524.

It can be written as a sum of positive squares in 4 ways, for example, as 55696 + 369664 = 236^2 + 608^2 .

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

It is a super-2 number, since 2×4253602 = 361862259200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (425363) 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, 836 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (26691).

2425360 is an apocalyptic number.

425360 is a gapful number since it is divisible by the number (40) 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 425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533820).

425360 is an abundant number, since it is smaller than the sum of its proper divisors (642280).

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

425360 is a wasteful number, since it uses less digits than its factorization.

425360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 425360 is about 652.1962894712. The cubic root of 425360 is about 75.2059524487.

Adding to 425360 its reverse (63524), we get a palindrome (488884).

The spelling of 425360 in words is "four hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 409 520 818 1040 1636 2045 3272 4090 5317 6544 8180 10634 16360 21268 26585 32720 42536 53170 85072 106340 212680 425360