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163379040 = 25351122997
BaseRepresentation
bin10011011110011…
…11011101100000
3102101102111220120
421233033131200
5313311112130
624113440240
74022461506
oct1157173540
9371374816
10163379040
1184250100
1246870080
1327b047b6
14179ac676
15e523910
hex9bcf760

163379040 has 288 divisors, whose sum is σ = 591222240. Its totient is φ = 37847040.

The previous prime is 163379039. The next prime is 163379053. The reversal of 163379040 is 40973361.

It is a super-2 number, since 2×1633790402 = 53385421422643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 163378992 and 163379010.

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, 1684272 + ... + 1684368.

It is an arithmetic number, because the mean of its divisors is an integer number (2052855).

Almost surely, 2163379040 is an apocalyptic number.

163379040 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 163379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295611120).

163379040 is an abundant number, since it is smaller than the sum of its proper divisors (427843200).

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

163379040 is a wasteful number, since it uses less digits than its factorization.

163379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 163379040 is about 12781.9810671116. The cubic root of 163379040 is about 546.6786500116.

The spelling of 163379040 in words is "one hundred sixty-three million, three hundred seventy-nine thousand, forty".