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401135220 = 223351939097
BaseRepresentation
bin10111111010001…
…101011001110100
31000221210210002000
4113322031121310
51310142311340
6103445415300
712640410303
oct2772153164
91027723060
10401135220
11196480912
12b240a530
136514b225
143b3bc43a
1525339d30
hex17e8d674

401135220 has 96 divisors (see below), whose sum is σ = 1313692800. Its totient is φ = 101336832.

The previous prime is 401135191. The next prime is 401135233. The reversal of 401135220 is 22531104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401135193 and 401135202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9289 + ... + 29808.

It is an arithmetic number, because the mean of its divisors is an integer number (13684300).

Almost surely, 2401135220 is an apocalyptic number.

It is an amenable number.

401135220 is an abundant number, since it is smaller than the sum of its proper divisors (912557580).

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

401135220 is a wasteful number, since it uses less digits than its factorization.

401135220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39134 (or 39126 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401135220 is about 20028.3603922039. The cubic root of 401135220 is about 737.5026724025.

Adding to 401135220 its reverse (22531104), we get a palindrome (423666324).

The spelling of 401135220 in words is "four hundred one million, one hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 39097 78194 117291 156388 195485 234582 351873 390970 469164 586455 703746 742843 781940 1055619 1172910 1407492 1485686 1759365 2111238 2228529 2345820 2971372 3518730 3714215 4222476 4457058 5278095 6685587 7037460 7428430 8914116 10556190 11142645 13371174 14856860 20056761 21112380 22285290 26742348 33427935 40113522 44570580 66855870 80227044 100283805 133711740 200567610 401135220