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401420160 = 2732569691
BaseRepresentation
bin10111111011010…
…010111110000000
31000222100020221100
4113323102332000
51310230421120
6103455454400
712643005111
oct2773227600
91028306840
10401420160
111966559a9
12b2527400
136521ab2b
143b454208
1525394490
hex17ed2f80

401420160 has 96 divisors (see below), whose sum is σ = 1386173880. Its totient is φ = 107043840.

The previous prime is 401420153. The next prime is 401420161. The reversal of 401420160 is 61024104.

401420160 is a `hidden beast` number, since 401 + 4 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4014201602 = 322276289708851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401420161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29086 + ... + 40605.

Almost surely, 2401420160 is an apocalyptic number.

401420160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401420160 is an abundant number, since it is smaller than the sum of its proper divisors (984753720).

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

401420160 is a wasteful number, since it uses less digits than its factorization.

401420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69716 (or 69701 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401420160 is about 20035.4725424683. The cubic root of 401420160 is about 737.6772554883.

Adding to 401420160 its reverse (61024104), we get a palindrome (462444264).

The spelling of 401420160 in words is "four hundred one million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 69691 139382 209073 278764 348455 418146 557528 627219 696910 836292 1045365 1115056 1254438 1393820 1672584 2090730 2230112 2508876 2787640 3136095 3345168 4181460 4460224 5017752 5575280 6272190 6690336 8362920 8920448 10035504 11150560 12544380 13380672 16725840 20071008 22301120 25088760 26761344 33451680 40142016 44602240 50177520 66903360 80284032 100355040 133806720 200710080 401420160