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40668760 = 23511175437
BaseRepresentation
bin1001101100100…
…0111001011000
32211112012001101
42123020321120
540402400020
64011401144
71002451546
oct233107130
984465041
1040668760
1120a58050
12117531b4
13856c072
145588d96
15388500a
hex26c8e58

40668760 has 64 divisors (see below), whose sum is σ = 105714720. Its totient is φ = 13916160.

The previous prime is 40668757. The next prime is 40668763. The reversal of 40668760 is 6786604.

It is an interprime number because it is at equal distance from previous prime (40668757) and next prime (40668763).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40668763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4762 + ... + 10198.

Almost surely, 240668760 is an apocalyptic number.

40668760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40668760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52857360).

40668760 is an abundant number, since it is smaller than the sum of its proper divisors (65045960).

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

40668760 is a wasteful number, since it uses less digits than its factorization.

40668760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 40668760 is about 6377.2062848868. The cubic root of 40668760 is about 343.8906042989.

The spelling of 40668760 in words is "forty million, six hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 5437 7480 10874 21748 27185 43496 54370 59807 92429 108740 119614 184858 217480 239228 299035 369716 462145 478456 598070 739432 924290 1016719 1196140 1848580 2033438 2392280 3697160 4066876 5083595 8133752 10167190 20334380 40668760