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397260540 = 2232511319531
BaseRepresentation
bin10111101011011…
…011011011111100
31000200111221000100
4113223123123330
51303144314130
6103230401100
712562441665
oct2753333374
91020457010
10397260540
111942747a6
12b1060190
13643c2711
143aa9036c
1524d21c60
hex17adb6fc

397260540 has 72 divisors (see below), whose sum is σ = 1215749808. Its totient is φ = 104993280.

The previous prime is 397260533. The next prime is 397260541. The reversal of 397260540 is 45062793.

397260540 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 605 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397260495 and 397260504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397260541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10575 + ... + 30105.

It is an arithmetic number, because the mean of its divisors is an integer number (16885414).

Almost surely, 2397260540 is an apocalyptic number.

397260540 is a gapful number since it is divisible by the number (30) 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 397260540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607874904).

397260540 is an abundant number, since it is smaller than the sum of its proper divisors (818489268).

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

397260540 is a wasteful number, since it uses less digits than its factorization.

397260540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19659 (or 19654 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 397260540 is about 19931.3958367195. The cubic root of 397260540 is about 735.1204023219.

The spelling of 397260540 in words is "three hundred ninety-seven million, two hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 19531 20340 39062 58593 78124 97655 117186 175779 195310 234372 292965 351558 390620 585930 703116 878895 1171860 1757790 2207003 3515580 4414006 6621009 8828012 11035015 13242018 19863027 22070030 26484036 33105045 39726054 44140060 66210090 79452108 99315135 132420180 198630270 397260540