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40130104 = 2374779193
BaseRepresentation
bin1001100100010…
…1011000111000
32210111211011011
42121011120320
540233130404
63552043304
7665046250
oct231053070
983454134
1040130104
112071a383
1211533534
138410b31
145488960
1537ca604
hex2645638

40130104 has 64 divisors (see below), whose sum is σ = 89395200. Its totient is φ = 16533504.

The previous prime is 40130093. The next prime is 40130107. The reversal of 40130104 is 40103104.

It is a super-2 number, since 2×401301042 = 3220850494101632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207832 + ... + 208024.

It is an arithmetic number, because the mean of its divisors is an integer number (1396800).

Almost surely, 240130104 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 40130104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44697600).

40130104 is an abundant number, since it is smaller than the sum of its proper divisors (49265096).

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

40130104 is a wasteful number, since it uses less digits than its factorization.

40130104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40130104 is about 6334.8325944732. The cubic root of 40130104 is about 342.3655792327.

Adding to 40130104 its reverse (40103104), we get a palindrome (80233208).

Subtracting from 40130104 its reverse (40103104), we obtain a cube (27000 = 303).

The spelling of 40130104 in words is "forty million, one hundred thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 47 56 79 94 158 188 193 316 329 376 386 553 632 658 772 1106 1316 1351 1544 2212 2632 2702 3713 4424 5404 7426 9071 10808 14852 15247 18142 25991 29704 30494 36284 51982 60988 63497 72568 103964 106729 121976 126994 207928 213458 253988 426916 507976 716609 853832 1433218 2866436 5016263 5732872 10032526 20065052 40130104