Search a number
-
+
160493400 = 2334529907
BaseRepresentation
bin10011001000011…
…10111101011000
3102011222220120000
421210032331120
5312041242100
623531533000
73656112534
oct1144167530
9364886500
10160493400
118265a081
12458ba160
1327334212
141745abc4
15e153900
hex990ef58

160493400 has 120 divisors (see below), whose sum is σ = 557473620. Its totient is φ = 42793920.

The previous prime is 160493357. The next prime is 160493401. The reversal of 160493400 is 4394061.

160493400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160493401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11247 + ... + 21153.

Almost surely, 2160493400 is an apocalyptic number.

160493400 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 160493400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278736810).

160493400 is an abundant number, since it is smaller than the sum of its proper divisors (396980220).

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

160493400 is a wasteful number, since it uses less digits than its factorization.

160493400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9935 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 160493400 is about 12668.5989754195. The cubic root of 160493400 is about 543.4409897038.

The spelling of 160493400 in words is "one hundred sixty million, four hundred ninety-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 9907 16200 19814 29721 39628 49535 59442 79256 89163 99070 118884 148605 178326 198140 237768 247675 267489 297210 356652 396280 445815 495350 534978 594420 713304 743025 802467 891630 990700 1069956 1188840 1337445 1486050 1604934 1783260 1981400 2139912 2229075 2674890 2972100 3209868 3566520 4012335 4458150 5349780 5944200 6419736 6687225 8024670 8916300 10699560 13374450 16049340 17832600 20061675 26748900 32098680 40123350 53497800 80246700 160493400