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397540 = 2251113139
BaseRepresentation
bin1100001000011100100
3202012022201
41201003210
5100210130
612304244
73244003
oct1410344
9665281
10397540
11251750
12172084
1310bc40
14a4c3a
157cbca
hex610e4

397540 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 132480.

The previous prime is 397519. The next prime is 397541. The reversal of 397540 is 45793.

397540 = T179 + T180 + ... + T200.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 397499 and 397508.

It is not an unprimeable number, because it can be changed into a prime (397541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791 + ... + 2929.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2397540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

397540 is an abundant number, since it is smaller than the sum of its proper divisors (590300).

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

397540 is a wasteful number, since it uses less digits than its factorization.

397540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 397540 is about 630.5077319114. The cubic root of 397540 is about 73.5292739762.

The spelling of 397540 in words is "three hundred ninety-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 139 143 220 260 278 286 556 572 695 715 1390 1430 1529 1807 2780 2860 3058 3614 6116 7228 7645 9035 15290 18070 19877 30580 36140 39754 79508 99385 198770 397540