Search a number
-
+
169430400 = 2733523753
BaseRepresentation
bin10100001100101…
…00110110000000
3102210210221211000
422012110312000
5321333233100
624451252000
74125064116
oct1206246600
9383727730
10169430400
1187703627
12488aa000
1329142c99
1418705ab6
15ed1b900
hexa194d80

169430400 has 384 divisors, whose sum is σ = 648842400. Its totient is φ = 43130880.

The previous prime is 169430369. The next prime is 169430413. The reversal of 169430400 is 4034961.

169430400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3196774 + ... + 3196826.

Almost surely, 2169430400 is an apocalyptic number.

169430400 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 169430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324421200).

169430400 is an abundant number, since it is smaller than the sum of its proper divisors (479412000).

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

169430400 is a wasteful number, since it uses less digits than its factorization.

169430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 169430400 is about 13016.5433199448. The cubic root of 169430400 is about 553.3464295863.

The spelling of 169430400 in words is "one hundred sixty-nine million, four hundred thirty thousand, four hundred".