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9530040 = 23351341149
BaseRepresentation
bin100100010110…
…101010111000
3122221011202110
4210112222320
54414430130
6540132320
7144001242
oct44265270
918834673
109530040
11541a073
1232370a0
131c889a0
1413a1092
15c83ab0
hex916ab8

9530040 has 128 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 2273280.

The previous prime is 9530033. The next prime is 9530041. The reversal of 9530040 is 400359.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9529989 and 9530016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9530041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63886 + ... + 64034.

Almost surely, 29530040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

9530040 is an abundant number, since it is smaller than the sum of its proper divisors (22221960).

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

9530040 is a wasteful number, since it uses less digits than its factorization.

9530040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 9530040 is about 3087.0762867153. The cubic root of 9530040 is about 212.0141796615.

Adding to 9530040 its reverse (400359), we get a palindrome (9930399).

It can be divided in two parts, 95 and 30040, that added together give a triangular number (30135 = T245).

The spelling of 9530040 in words is "nine million, five hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 149 156 164 195 205 246 260 298 312 328 390 410 447 492 520 533 596 615 745 780 820 894 984 1066 1192 1230 1490 1560 1599 1640 1788 1937 2132 2235 2460 2665 2980 3198 3576 3874 4264 4470 4920 5330 5811 5960 6109 6396 7748 7995 8940 9685 10660 11622 12218 12792 15496 15990 17880 18327 19370 21320 23244 24436 29055 30545 31980 36654 38740 46488 48872 58110 61090 63960 73308 77480 79417 91635 116220 122180 146616 158834 183270 232440 238251 244360 317668 366540 397085 476502 635336 733080 794170 953004 1191255 1588340 1906008 2382510 3176680 4765020 9530040