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40401020 = 22511409449
BaseRepresentation
bin1001101000011…
…1100001111100
32211000120210002
42122013201330
540320313040
64001533432
71000255142
oct232074174
984016702
1040401020
1120894980
1211644278
1384a723a
145519592
153830a15
hex268787c

40401020 has 48 divisors (see below), whose sum is σ = 92988000. Its totient is φ = 14622720.

The previous prime is 40401013. The next prime is 40401043. The reversal of 40401020 is 2010404.

40401020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a junction number, because it is equal to n+sod(n) for n = 40400992 and 40401010.

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 15 ways as a sum of consecutive naturals, for example, 89756 + ... + 90204.

It is an arithmetic number, because the mean of its divisors is an integer number (1937250).

Almost surely, 240401020 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 40401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494000).

40401020 is an abundant number, since it is smaller than the sum of its proper divisors (52586980).

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

40401020 is a wasteful number, since it uses less digits than its factorization.

40401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40401020 is about 6356.1796702107. The cubic root of 40401020 is about 343.1342820395.

Adding to 40401020 its reverse (2010404), we get a palindrome (42411424).

The spelling of 40401020 in words is "forty million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 409 449 818 898 1636 1796 2045 2245 4090 4490 4499 4939 8180 8980 8998 9878 17996 19756 22495 24695 44990 49390 89980 98780 183641 367282 734564 918205 1836410 2020051 3672820 4040102 8080204 10100255 20200510 40401020