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40121676 = 2233773727
BaseRepresentation
bin1001100100001…
…1010101001100
32210111101121000
42121003111030
540232343201
63551540300
7665012550
oct231032514
983441530
1040121676
1120714011
121152a690
13840a04a
145485860
1537c7d86
hex264354c

40121676 has 96 divisors (see below), whose sum is σ = 120673280. Its totient is φ = 11290752.

The previous prime is 40121663. The next prime is 40121681. The reversal of 40121676 is 67612104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54825 + ... + 55551.

Almost surely, 240121676 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 40121676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60336640).

40121676 is an abundant number, since it is smaller than the sum of its proper divisors (80551604).

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

40121676 is a wasteful number, since it uses less digits than its factorization.

40121676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40121676 is about 6334.1673485944. The cubic root of 40121676 is about 342.3416100355.

The spelling of 40121676 in words is "forty million, one hundred twenty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 727 756 876 1022 1314 1454 1533 1971 2044 2181 2628 2908 3066 3942 4362 4599 5089 6132 6543 7884 8724 9198 10178 13086 13797 15267 18396 19629 20356 26172 27594 30534 39258 45801 53071 55188 61068 78516 91602 106142 137403 159213 183204 212284 274806 318426 371497 477639 549612 636852 742994 955278 1114491 1432917 1485988 1910556 2228982 2865834 3343473 4457964 5731668 6686946 10030419 13373892 20060838 40121676