Search a number
-
+
40732230 = 23572112229
BaseRepresentation
bin1001101101100…
…0011001000110
32211122102010010
42123120121012
540411412410
64013011050
71003134600
oct233303106
984572103
1040732230
1120aa0800
1211783a86
138591c16
1455a4170
153898c20
hex26d8646

40732230 has 144 divisors (see below), whose sum is σ = 125541360. Its totient is φ = 8426880.

The previous prime is 40732217. The next prime is 40732253. The reversal of 40732230 is 3223704.

It is a happy number.

It is a super-2 number, since 2×407322302 = 3318229121545800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40732197 and 40732206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 177756 + ... + 177984.

It is an arithmetic number, because the mean of its divisors is an integer number (871815).

Almost surely, 240732230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40732230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62770680).

40732230 is an abundant number, since it is smaller than the sum of its proper divisors (84809130).

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

40732230 is a wasteful number, since it uses less digits than its factorization.

40732230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 40732230 is about 6382.1806618114. The cubic root of 40732230 is about 344.0694097817.

Adding to 40732230 its reverse (3223704), we get a palindrome (43955934).

The spelling of 40732230 in words is "forty million, seven hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 210 229 231 242 245 294 330 363 385 458 462 490 539 605 687 726 735 770 847 1078 1145 1155 1210 1374 1470 1603 1617 1694 1815 2290 2310 2519 2541 2695 3206 3234 3435 3630 4235 4809 5038 5082 5390 5929 6870 7557 8015 8085 8470 9618 11221 11858 12595 12705 15114 16030 16170 17633 17787 22442 24045 25190 25410 27709 29645 33663 35266 35574 37785 48090 52899 55418 56105 59290 67326 75570 83127 88165 88935 105798 112210 123431 138545 166254 168315 176330 177870 193963 246862 264495 277090 336630 370293 387926 415635 528990 581889 617155 740586 831270 969815 1163778 1234310 1357741 1851465 1939630 2715482 2909445 3702930 4073223 5818890 6788705 8146446 13577410 20366115 40732230