Search a number
-
+
40220160 = 29355237
BaseRepresentation
bin1001100101101…
…1011000000000
32210200101200120
42121123120000
540244021120
63554020240
7665602641
oct231333000
983611616
1040220160
1120781002
1211577680
138442b16
1454ad6c8
1537e7140
hex265b600

40220160 has 80 divisors (see below), whose sum is σ = 128603376. Its totient is φ = 10723328.

The previous prime is 40220143. The next prime is 40220183. The reversal of 40220160 is 6102204.

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

It is a super-2 number, since 2×402201602 = 3235322540851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5062 + ... + 10298.

Almost surely, 240220160 is an apocalyptic number.

40220160 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 40220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64301688).

40220160 is an abundant number, since it is smaller than the sum of its proper divisors (88383216).

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

40220160 is an equidigital number, since it uses as much as digits as its factorization.

40220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40220160 is about 6341.9366127390. The cubic root of 40220160 is about 342.6214888601.

Adding to 40220160 its reverse (6102204), we get a palindrome (46322364).

The spelling of 40220160 in words is "forty million, two hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 5237 7680 10474 15711 20948 26185 31422 41896 52370 62844 78555 83792 104740 125688 157110 167584 209480 251376 314220 335168 418960 502752 628440 670336 837920 1005504 1256880 1340672 1675840 2011008 2513760 2681344 3351680 4022016 5027520 6703360 8044032 10055040 13406720 20110080 40220160