Search a number
-
+
168098112 = 26337131069
BaseRepresentation
bin10100000010011…
…11100101000000
3102201022021021000
422001033211000
5321013114422
624402532000
74110544650
oct1201174500
9381267230
10168098112
1186983666
1248367000
1328a97750
141847a360
15eb56cac
hexa04f940

168098112 has 224 divisors, whose sum is σ = 608787200. Its totient is φ = 44292096.

The previous prime is 168098107. The next prime is 168098129. The reversal of 168098112 is 211890861.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156714 + ... + 157782.

It is an arithmetic number, because the mean of its divisors is an integer number (2717800).

Almost surely, 2168098112 is an apocalyptic number.

168098112 is a gapful number since it is divisible by the number (12) 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 168098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304393600).

168098112 is an abundant number, since it is smaller than the sum of its proper divisors (440689088).

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

168098112 is a wasteful number, since it uses less digits than its factorization.

168098112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 168098112 is about 12965.2655969710. The cubic root of 168098112 is about 551.8922284877.

The spelling of 168098112 in words is "one hundred sixty-eight million, ninety-eight thousand, one hundred twelve".