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168104000 = 265321013
BaseRepresentation
bin10100000010100…
…01000001000000
3102201022120100002
422001101001000
5321013312000
624403015132
74110601061
oct1201210100
9381276302
10168104000
1186988029
124836a4a8
1328a9a32c
141847c568
15eb588d5
hexa051040

168104000 has 56 divisors (see below), whose sum is σ = 416329368. Its totient is φ = 67238400.

The previous prime is 168103997. The next prime is 168104003. The reversal of 168104000 is 401861.

It is an interprime number because it is at equal distance from previous prime (168103997) and next prime (168104003).

It can be written as a sum of positive squares in 4 ways, for example, as 53699584 + 114404416 = 7328^2 + 10696^2 .

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 (168104003) 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, 2507 + ... + 18506.

It is an arithmetic number, because the mean of its divisors is an integer number (7434453).

Almost surely, 2168104000 is an apocalyptic number.

168104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168104000 is an abundant number, since it is smaller than the sum of its proper divisors (248225368).

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

168104000 is an equidigital number, since it uses as much as digits as its factorization.

168104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21040 (or 21020 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 168104000 is about 12965.4926632196. The cubic root of 168104000 is about 551.8986721521.

Adding to 168104000 its reverse (401861), we get a palindrome (168505861).

It can be divided in two parts, 16810 and 4000, that multiplied together give a square (67240000 = 82002).

The spelling of 168104000 in words is "one hundred sixty-eight million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 21013 42026 84052 105065 168104 210130 336208 420260 525325 672416 840520 1050650 1344832 1681040 2101300 2626625 3362080 4202600 5253250 6724160 8405200 10506500 16810400 21013000 33620800 42026000 84052000 168104000