Search a number
-
+
40175730 = 2335729733
BaseRepresentation
bin1001100101000…
…0100001110010
32210121010202000
42121100201302
540241110410
63553034430
7665326260
oct231204162
983533660
1040175730
1120750691
1211555a16
13842882a
14549b430
1537d8dc0
hex2650872

40175730 has 128 divisors (see below), whose sum is σ = 126835200. Its totient is φ = 8854272.

The previous prime is 40175713. The next prime is 40175731. The reversal of 40175730 is 3757104.

It is a super-2 number, since 2×401757302 = 3228178562065800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40175694 and 40175703.

It is not an unprimeable number, because it can be changed into a prime (40175731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54444 + ... + 55176.

It is an arithmetic number, because the mean of its divisors is an integer number (990900).

Almost surely, 240175730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40175730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417600).

40175730 is an abundant number, since it is smaller than the sum of its proper divisors (86659470).

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

40175730 is a wasteful number, since it uses less digits than its factorization.

40175730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 40175730 is about 6338.4327715927. The cubic root of 40175730 is about 342.4952811611.

The spelling of 40175730 in words is "forty million, one hundred seventy-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 733 783 870 945 1015 1218 1305 1466 1566 1827 1890 2030 2199 2610 3045 3654 3665 3915 4398 5131 5481 6090 6597 7330 7830 9135 10262 10962 10995 13194 15393 18270 19791 21257 21990 25655 27405 30786 32985 39582 42514 46179 51310 54810 63771 65970 76965 92358 98955 106285 127542 138537 148799 153930 191313 197910 212570 230895 277074 297598 318855 382626 446397 461790 573939 637710 692685 743995 892794 956565 1147878 1339191 1385370 1487990 1913130 2231985 2678382 2869695 4017573 4463970 5739390 6695955 8035146 13391910 20087865 40175730