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9975330 = 2325236179
BaseRepresentation
bin100110000011…
…011000100010
3200202210120200
4212003120202
510023202310
6553450030
7150534411
oct46033042
920683520
109975330
1156a3682
123410916
1320b3581
141479478
15d209c0
hex983622

9975330 has 96 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 2471040.

The previous prime is 9975319. The next prime is 9975331. The reversal of 9975330 is 335799.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9975331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126231 + ... + 126309.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 29975330 is an apocalyptic number.

9975330 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9975330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

9975330 is an abundant number, since it is smaller than the sum of its proper divisors (17880030).

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

9975330 is a wasteful number, since it uses less digits than its factorization.

9975330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 9975330 is about 3158.3745819646. The cubic root of 9975330 is about 215.2661567674.

The spelling of 9975330 in words is "nine million, nine hundred seventy-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 61 69 79 90 115 122 138 158 183 207 230 237 305 345 366 395 414 474 549 610 690 711 790 915 1035 1098 1185 1403 1422 1817 1830 2070 2370 2745 2806 3555 3634 4209 4819 5451 5490 7015 7110 8418 9085 9638 10902 12627 14030 14457 16353 18170 21045 24095 25254 27255 28914 32706 42090 43371 48190 54510 63135 72285 81765 86742 110837 126270 144570 163530 216855 221674 332511 433710 554185 665022 997533 1108370 1662555 1995066 3325110 4987665 9975330