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168411040 = 2557221481
BaseRepresentation
bin10100000100110…
…11111110100000
3102201220011111221
422002123332200
5321103123130
624413344424
74113320200
oct1202337640
9381804457
10168411040
1187077786
1248498114
1328b77005
141851c400
15ebb987a
hexa09bfa0

168411040 has 72 divisors (see below), whose sum is σ = 462851172. Its totient is φ = 57738240.

The previous prime is 168411031. The next prime is 168411043. The reversal of 168411040 is 40114861.

It can be written as a sum of positive squares in 2 ways, for example, as 168065296 + 345744 = 12964^2 + 588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 168410996 and 168411014.

It is not an unprimeable number, because it can be changed into a prime (168411043) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2901 + ... + 18580.

Almost surely, 2168411040 is an apocalyptic number.

168411040 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 168411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231425586).

168411040 is an abundant number, since it is smaller than the sum of its proper divisors (294440132).

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

168411040 is a wasteful number, since it uses less digits than its factorization.

168411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21510 (or 21495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 168411040 is about 12977.3279221880. The cubic root of 168411040 is about 552.2344799530.

The spelling of 168411040 in words is "one hundred sixty-eight million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 21481 42962 85924 107405 150367 171848 214810 300734 343696 429620 601468 687392 751835 859240 1052569 1202936 1503670 1718480 2105138 2405872 3007340 3436960 4210276 4811744 5262845 6014680 8420552 10525690 12029360 16841104 21051380 24058720 33682208 42102760 84205520 168411040