Search a number
-
+
40709400 = 23352193571
BaseRepresentation
bin1001101101001…
…0110100011000
32211121020210120
42123102310120
540410200100
64012313240
71003011204
oct233226430
984536716
1040709400
1120a85636
1211772820
138584704
145599b04
1538920a0
hex26d2d18

40709400 has 96 divisors (see below), whose sum is σ = 132878400. Its totient is φ = 10281600.

The previous prime is 40709371. The next prime is 40709443. The reversal of 40709400 is 490704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9615 + ... + 13185.

It is an arithmetic number, because the mean of its divisors is an integer number (1384150).

Almost surely, 240709400 is an apocalyptic number.

40709400 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 40709400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66439200).

40709400 is an abundant number, since it is smaller than the sum of its proper divisors (92169000).

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

40709400 is a wasteful number, since it uses less digits than its factorization.

40709400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 40709400 is about 6380.3918374971. The cubic root of 40709400 is about 344.0051153016.

The spelling of 40709400 in words is "forty million, seven hundred nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3571 3800 5700 7142 10713 11400 14284 17855 21426 28568 35710 42852 53565 67849 71420 85704 89275 107130 135698 142840 178550 203547 214260 267825 271396 339245 357100 407094 428520 535650 542792 678490 714200 814188 1017735 1071300 1356980 1628376 1696225 2035470 2142600 2713960 3392450 4070940 5088675 6784900 8141880 10177350 13569800 20354700 40709400