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1401301220 = 22511231631699
BaseRepresentation
bin101001110000110…
…0010100011100100
310121122210110220012
41103201202203210
510332213114340
6351014425352
746503602204
oct12341424344
93548713805
101401301220
11659aa8390
12331362258
13194415b27
14d4170404
1583050565
hex538628e4

1401301220 has 96 divisors (see below), whose sum is σ = 3372364800. Its totient is φ = 484133760.

The previous prime is 1401301217. The next prime is 1401301241. The reversal of 1401301220 is 221031041.

It is a junction number, because it is equal to n+sod(n) for n = 1401301195 and 1401301204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823931 + ... + 825629.

It is an arithmetic number, because the mean of its divisors is an integer number (35128800).

Almost surely, 21401301220 is an apocalyptic number.

1401301220 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 1401301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686182400).

1401301220 is an abundant number, since it is smaller than the sum of its proper divisors (1971063580).

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

1401301220 is a wasteful number, since it uses less digits than its factorization.

1401301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1401301220 is about 37433.9581129220. The cubic root of 1401301220 is about 1119.0354205751.

Adding to 1401301220 its reverse (221031041), we get a palindrome (1622332261).

The spelling of 1401301220 in words is "one billion, four hundred one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 163 220 230 253 326 460 506 652 815 1012 1265 1630 1699 1793 2530 3260 3398 3586 3749 5060 6796 7172 7498 8495 8965 14996 16990 17930 18689 18745 33980 35860 37378 37490 39077 41239 74756 74980 78154 82478 93445 156308 164956 186890 195385 206195 276937 373780 390770 412390 429847 553874 781540 824780 859694 1107748 1384685 1719388 2149235 2769370 3046307 4298470 5538740 6092614 6369551 8596940 12185228 12739102 15231535 25478204 30463070 31847755 60926140 63695510 70065061 127391020 140130122 280260244 350325305 700650610 1401301220