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163840000 = 21854
BaseRepresentation
bin10011100010000…
…00000000000000
3102102021221020011
421301000000000
5313420340000
624131354304
74026421432
oct1161000000
9372257204
10163840000
1184535465
1246a52994
1327c3655c
1417a8c652
15e5b52ba
hex9c40000

163840000 has 95 divisors (see below), whose sum is σ = 409468147. Its totient is φ = 65536000.

The previous prime is 163839967. The next prime is 163840007. The reversal of 163840000 is 48361.

The square root of 163840000 is 12800.

It is a perfect power (a square), and thus also a powerful number.

163840000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 150994944 = 3584^2 + 12288^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=80.

It is a super-3 number, since 3×1638400003 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163840007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 32767998 + ... + 32768002.

Almost surely, 2163840000 is an apocalyptic number.

163840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163840000 is the 12800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163840000

163840000 is an abundant number, since it is smaller than the sum of its proper divisors (245628147).

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

163840000 is an frugal number, since it uses more digits than its factorization.

163840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 163840000 is about 547.1923029365.

Multiplying 163840000 by its product of nonzero digits (576), we get a square (94371840000 = 3072002).

Adding to 163840000 its reverse (48361), we get a palindrome (163888361).

The spelling of 163840000 in words is "one hundred sixty-three million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 12800 16000 16384 20000 20480 25600 32000 32768 40000 40960 51200 64000 65536 80000 81920 102400 128000 131072 160000 163840 204800 256000 262144 320000 327680 409600 512000 640000 655360 819200 1024000 1280000 1310720 1638400 2048000 2560000 3276800 4096000 5120000 6553600 8192000 10240000 16384000 20480000 32768000 40960000 81920000 163840000