Search a number
-
+
168315000 = 2335472229
BaseRepresentation
bin10100000100001…
…00100001111000
3102201201021202220
422002010201320
5321042040000
624411324040
74112440200
oct1202044170
9381637686
10168315000
1187011607
1248450620
1328b42399
14184d5400
15eb9b1a0
hexa084878

168315000 has 240 divisors, whose sum is σ = 614334600. Its totient is φ = 38304000.

The previous prime is 168314983. The next prime is 168315001. The reversal of 168315000 is 513861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168315001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 734886 + ... + 735114.

Almost surely, 2168315000 is an apocalyptic number.

168315000 is a gapful number since it is divisible by the number (10) 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 168315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307167300).

168315000 is an abundant number, since it is smaller than the sum of its proper divisors (446019600).

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

168315000 is a wasteful number, since it uses less digits than its factorization.

168315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 168315000 is about 12973.6270949954. The cubic root of 168315000 is about 552.1294854816.

Adding to 168315000 its reverse (513861), we get a palindrome (168828861).

The spelling of 168315000 in words is "one hundred sixty-eight million, three hundred fifteen thousand".