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168100 = 2252412
BaseRepresentation
bin101001000010100100
322112120221
4221002210
520334400
63334124
71300042
oct510244
9275527
10168100
11105329
1281344
135b68a
1445392
1534c1a
hex290a4

168100 has 27 divisors (see below), whose sum is σ = 373891. Its totient is φ = 65600.

The previous prime is 168089. The next prime is 168109. The reversal of 168100 is 1861.

168100 = T409 + T410.

The square root of 168100 is 410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70756 + 97344 = 266^2 + 312^2 .

It is a super-2 number, since 2×1681002 = 56515220000, which contains 22 as substring.

It is a Duffinian number.

168100 is a Rhonda number in base 15.

It is not an unprimeable number, because it can be changed into a prime (168109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4080 + ... + 4120.

2168100 is an apocalyptic number.

168100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

168100 is the 410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168100

168100 is an abundant number, since it is smaller than the sum of its proper divisors (205791).

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

168100 is a wasteful number, since it uses less digits than its factorization.

168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 168100 is about 55.1894294679.

Multiplying 168100 by its sum of digits (16), we get a square (2689600 = 16402).

Adding to 168100 its reverse (1861), we get a palindrome (169961).

It can be divided in two parts, 16 and 8100, that multiplied together give a square (129600 = 3602).

The spelling of 168100 in words is "one hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1681 2050 3362 4100 6724 8405 16810 33620 42025 84050 168100