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40668720 = 2435414133
BaseRepresentation
bin1001101100100…
…0111000110000
32211112011222220
42123020320300
540402344340
64011401040
71002451461
oct233107060
984464886
1040668720
1120a58014
1211753180
13856c041
145588d68
153884ed0
hex26c8e30

40668720 has 80 divisors (see below), whose sum is σ = 129179232. Its totient is φ = 10577920.

The previous prime is 40668703. The next prime is 40668751. The reversal of 40668720 is 2786604.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 7774 + ... + 11906.

Almost surely, 240668720 is an apocalyptic number.

40668720 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 40668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64589616).

40668720 is an abundant number, since it is smaller than the sum of its proper divisors (88510512).

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

40668720 is a wasteful number, since it uses less digits than its factorization.

40668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 40668720 is about 6377.2031487165. The cubic root of 40668720 is about 343.8904915536.

The spelling of 40668720 in words is "forty million, six hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4133 4920 8266 9840 12399 16532 20665 24798 33064 41330 49596 61995 66128 82660 99192 123990 165320 169453 198384 247980 330640 338906 495960 508359 677812 847265 991920 1016718 1355624 1694530 2033436 2541795 2711248 3389060 4066872 5083590 6778120 8133744 10167180 13556240 20334360 40668720