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40105422 = 2337223659
BaseRepresentation
bin1001100011111…
…1010111001110
32210110120022000
42120333113032
540231333142
63551333130
7664614300
oct230772716
983416260
1040105422
1120702885
12115211a6
138402826
14547d970
1537c314c
hex263f5ce

40105422 has 96 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 10943856.

The previous prime is 40105411. The next prime is 40105433. The reversal of 40105422 is 22450104.

It is an interprime number because it is at equal distance from previous prime (40105411) and next prime (40105433).

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 = 40105395 and 40105404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60529 + ... + 61187.

It is an arithmetic number, because the mean of its divisors is an integer number (1128600).

Almost surely, 240105422 is an apocalyptic number.

40105422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40105422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

40105422 is an abundant number, since it is smaller than the sum of its proper divisors (68240178).

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

40105422 is a wasteful number, since it uses less digits than its factorization.

40105422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40105422 is about 6332.8841770555. The cubic root of 40105422 is about 342.2953742459.

Adding to 40105422 its reverse (22450104), we get a palindrome (62555526).

The spelling of 40105422 in words is "forty million, one hundred five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 98 126 138 147 161 189 207 294 322 378 414 441 483 621 659 882 966 1127 1242 1318 1323 1449 1977 2254 2646 2898 3381 3954 4347 4613 5931 6762 8694 9226 10143 11862 13839 15157 17793 20286 27678 30314 30429 32291 35586 41517 45471 60858 64582 83034 90942 96873 106099 124551 136413 193746 212198 249102 272826 290619 318297 409239 581238 636594 742693 818478 871857 954891 1485386 1743714 1909782 2228079 2864673 4456158 5729346 6684237 13368474 20052711 40105422