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162241056 = 2534531181
BaseRepresentation
bin10011010101110…
…01101000100000
3102022021200220000
421222321220200
5313013203211
624033220000
74010011665
oct1152715040
9368250800
10162241056
118364311a
1246401600
13277c6833
1417793a6c
15e39b656
hex9ab9a20

162241056 has 120 divisors (see below), whose sum is σ = 486560844. Its totient is φ = 53015040.

The previous prime is 162241043. The next prime is 162241063. The reversal of 162241056 is 650142261.

It can be written as a sum of positive squares in 2 ways, for example, as 141991056 + 20250000 = 11916^2 + 4500^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136786 + ... + 137966.

Almost surely, 2162241056 is an apocalyptic number.

162241056 is a gapful number since it is divisible by the number (16) 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 162241056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243280422).

162241056 is an abundant number, since it is smaller than the sum of its proper divisors (324319788).

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

162241056 is a wasteful number, since it uses less digits than its factorization.

162241056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 162241056 is about 12737.3881153084. The cubic root of 162241056 is about 545.4064313924.

The spelling of 162241056 in words is "one hundred sixty-two million, two hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1181 1272 1296 1431 1696 1908 2362 2544 2592 2862 3543 3816 4293 4724 5088 5724 7086 7632 8586 9448 10629 11448 14172 15264 17172 18896 21258 22896 28344 31887 34344 37792 42516 45792 56688 62593 63774 68688 85032 95661 113376 125186 127548 137376 170064 187779 191322 250372 255096 340128 375558 382644 500744 510192 563337 751116 765288 1001488 1020384 1126674 1502232 1530576 1690011 2002976 2253348 3004464 3061152 3380022 4506696 5070033 6008928 6760044 9013392 10140066 13520088 18026784 20280132 27040176 40560264 54080352 81120528 162241056