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168428160 = 27365192
BaseRepresentation
bin10100000101000…
…00001010000000
3102201221001000000
422002200022000
5321104200120
624414000000
74113421125
oct1202401200
9381831000
10168428160
118708962a
12484a6000
1328b81a44
141852474c
15ebbe990
hexa0a0280

168428160 has 336 divisors, whose sum is σ = 637142490. Its totient is φ = 42550272.

The previous prime is 168428159. The next prime is 168428171. The reversal of 168428160 is 61824861.

It can be written as a sum of positive squares in only one way, i.e., 151585344 + 16842816 = 12312^2 + 4104^2 .

It is a super-3 number, since 3×1684281603 (a number of 26 digits) contains 333 as substring.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 8864631 + ... + 8864649.

Almost surely, 2168428160 is an apocalyptic number.

168428160 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 168428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318571245).

168428160 is an abundant number, since it is smaller than the sum of its proper divisors (468714330).

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

168428160 is an frugal number, since it uses more digits than its factorization.

168428160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168428160 is about 12977.9875173310. The cubic root of 168428160 is about 552.2531919764.

The spelling of 168428160 in words is "one hundred sixty-eight million, four hundred twenty-eight thousand, one hundred sixty".