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163428480 = 27325171669
BaseRepresentation
bin10011011110110…
…11100010000000
3102101112000201200
421233123202000
5313314202410
624114501200
74023055605
oct1157334200
9371460650
10163428480
1184284266
1246894800
1327b21157
14179c26ac
15e5333c0
hex9bdb880

163428480 has 192 divisors, whose sum is σ = 597893400. Its totient is φ = 40992768.

The previous prime is 163428467. The next prime is 163428491. The reversal of 163428480 is 84824361.

It can be written as a sum of positive squares in 4 ways, for example, as 149230656 + 14197824 = 12216^2 + 3768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1634284802 = 53417736150220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97086 + ... + 98754.

Almost surely, 2163428480 is an apocalyptic number.

163428480 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 163428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298946700).

163428480 is an abundant number, since it is smaller than the sum of its proper divisors (434464920).

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

163428480 is a wasteful number, since it uses less digits than its factorization.

163428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 163428480 is about 12783.9148933337. The cubic root of 163428480 is about 546.7337877793.

The spelling of 163428480 in words is "one hundred sixty-three million, four hundred twenty-eight thousand, four hundred eighty".