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411231420 = 223253177207
BaseRepresentation
bin11000100000101…
…110010010111100
31001122210201110100
4120200232102330
51320233401140
6104450041100
713122260265
oct3040562274
91048721410
10411231420
111a1147286
12b5879190
1367274802
143c88996c
1526181530
hex1882e4bc

411231420 has 72 divisors (see below), whose sum is σ = 1251510624. Its totient is φ = 109300608.

The previous prime is 411231409. The next prime is 411231487. The reversal of 411231420 is 24132114.

411231420 is a `hidden beast` number, since 4 + 11 + 231 + 420 = 666.

It is a super-2 number, since 2×4112314202 = 338222561590432800, which contains 22 as substring.

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 = 411231393 and 411231402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 53457 + ... + 60663.

It is an arithmetic number, because the mean of its divisors is an integer number (17382092).

Almost surely, 2411231420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625755312).

411231420 is an abundant number, since it is smaller than the sum of its proper divisors (840279204).

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

411231420 is a wasteful number, since it uses less digits than its factorization.

411231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539 (or 7534 counting only the distinct ones).

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

The square root of 411231420 is about 20278.8416828970. The cubic root of 411231420 is about 743.6388943088.

Adding to 411231420 its reverse (24132114), we get a palindrome (435363534).

The spelling of 411231420 in words is "four hundred eleven million, two hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 7207 9510 11412 14265 14414 19020 21621 28530 28828 36035 43242 57060 64863 72070 86484 108105 129726 144140 216210 259452 324315 432420 648630 1297260 2284619 4569238 6853857 9138476 11423095 13707714 20561571 22846190 27415428 34269285 41123142 45692380 68538570 82246284 102807855 137077140 205615710 411231420