Search a number
-
+
400230160 = 245112915683
BaseRepresentation
bin10111110110110…
…000011100010000
31000220002210120021
4113312300130100
51304424331120
6103414153224
712626620531
oct2766603420
91026083507
10400230160
11195a12930
12b2052814
1364bc22a5
143b224688
152520baaa
hex17db0710

400230160 has 80 divisors (see below), whose sum is σ = 1050200640. Its totient is φ = 140510720.

The previous prime is 400230157. The next prime is 400230161. The reversal of 400230160 is 61032004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (400230161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17679 + ... + 33361.

It is an arithmetic number, because the mean of its divisors is an integer number (13127508).

Almost surely, 2400230160 is an apocalyptic number.

400230160 is a gapful number since it is divisible by the number (40) 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 400230160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525100320).

400230160 is an abundant number, since it is smaller than the sum of its proper divisors (649970480).

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

400230160 is a wasteful number, since it uses less digits than its factorization.

400230160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15736 (or 15730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 400230160 is about 20005.7531725251. The cubic root of 400230160 is about 736.9475920800.

Adding to 400230160 its reverse (61032004), we get a palindrome (461262164).

The spelling of 400230160 in words is "four hundred million, two hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 5104 6380 12760 15683 25520 31366 62732 78415 125464 156830 172513 250928 313660 345026 454807 627320 690052 862565 909614 1254640 1380104 1725130 1819228 2274035 2760208 3450260 3638456 4548070 5002877 6900520 7276912 9096140 10005754 13801040 18192280 20011508 25014385 36384560 40023016 50028770 80046032 100057540 200115080 400230160