Search a number
-
+
40716270 = 2345743167
BaseRepresentation
bin1001101101010…
…0011111101110
32211121121020000
42123110133232
540410410040
64012405130
71003040220
oct233243756
984547200
1040716270
1120a8a811
12117767a6
13858788a
14559c410
153894130
hex26d47ee

40716270 has 160 divisors (see below), whose sum is σ = 128798208. Its totient is φ = 9035712.

The previous prime is 40716257. The next prime is 40716271. The reversal of 40716270 is 7261704.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40716271) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243727 + ... + 243893.

Almost surely, 240716270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40716270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64399104).

40716270 is an abundant number, since it is smaller than the sum of its proper divisors (88081938).

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

40716270 is a wasteful number, since it uses less digits than its factorization.

40716270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 40716270 is about 6380.9301829749. The cubic root of 40716270 is about 344.0244653142.

Adding to 40716270 its reverse (7261704), we get a palindrome (47977974).

The spelling of 40716270 in words is "forty million, seven hundred sixteen thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 81 86 90 105 126 129 135 162 167 189 210 215 258 270 301 315 334 378 387 405 430 501 567 602 630 645 774 810 835 903 945 1002 1134 1161 1169 1290 1503 1505 1670 1806 1890 1935 2322 2338 2505 2709 2835 3006 3010 3483 3507 3870 4509 4515 5010 5418 5670 5805 5845 6966 7014 7181 7515 8127 9018 9030 10521 11610 11690 13527 13545 14362 15030 16254 17415 17535 21042 21543 22545 24381 27054 27090 31563 34830 35070 35905 40635 43086 45090 48762 50267 52605 63126 64629 67635 71810 81270 94689 100534 105210 107715 121905 129258 135270 150801 157815 189378 193887 215430 243810 251335 301602 315630 323145 387774 452403 473445 502670 581661 646290 754005 904806 946890 969435 1163322 1357209 1508010 1938870 2262015 2714418 2908305 4071627 4524030 5816610 6786045 8143254 13572090 20358135 40716270