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40729230 = 236537151
BaseRepresentation
bin1001101101011…
…1101010001110
32211122021000000
42123113222032
540411313410
64012545130
71003123053
oct233275216
984567000
1040729230
1120a99523
12117821a6
138590749
1455a302a
153897dc0
hex26d7a8e

40729230 has 112 divisors (see below), whose sum is σ = 113637024. Its totient is φ = 10497600.

The previous prime is 40729223. The next prime is 40729237. The reversal of 40729230 is 3292704.

40729230 is a `hidden beast` number, since 407 + 29 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (40729223) and next prime (40729237).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 40729194 and 40729203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40729237) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 269655 + ... + 269805.

Almost surely, 240729230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40729230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56818512).

40729230 is an abundant number, since it is smaller than the sum of its proper divisors (72907794).

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

40729230 is a wasteful number, since it uses less digits than its factorization.

40729230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40729230 is about 6381.9456280981. The cubic root of 40729230 is about 344.0609624696.

The spelling of 40729230 in words is "forty million, seven hundred twenty-nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 151 162 185 222 243 270 302 333 370 405 453 486 555 666 729 755 810 906 999 1110 1215 1359 1458 1510 1665 1998 2265 2430 2718 2997 3330 3645 4077 4530 4995 5587 5994 6795 7290 8154 8991 9990 11174 12231 13590 14985 16761 17982 20385 24462 26973 27935 29970 33522 36693 40770 44955 50283 53946 55870 61155 73386 83805 89910 100566 110079 122310 134865 150849 167610 183465 220158 251415 269730 301698 366930 452547 502830 550395 754245 905094 1100790 1357641 1508490 2262735 2715282 4072923 4525470 6788205 8145846 13576410 20364615 40729230