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9930375 = 325371397
BaseRepresentation
bin100101111000…
…011010000111
3200200111220200
4211320122013
510020233000
6552501543
7150256350
oct45703207
920614820
109930375
115672924
1233aa8b3
132098c80
141466d27
15d12500
hex978687

9930375 has 96 divisors (see below), whose sum is σ = 22259328. Its totient is φ = 4147200.

The previous prime is 9930341. The next prime is 9930391. The reversal of 9930375 is 5730399.

9930375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9930375 - 26 = 9930311 is a prime.

It is a super-2 number, since 2×99303752 = 197224695281250, which contains 22 as substring.

9930375 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102327 + ... + 102423.

It is an arithmetic number, because the mean of its divisors is an integer number (231868).

Almost surely, 29930375 is an apocalyptic number.

9930375 is an abundant number, since it is smaller than the sum of its proper divisors (12328953).

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

9930375 is a wasteful number, since it uses less digits than its factorization.

9930375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

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

The square root of 9930375 is about 3151.2497520825. The cubic root of 9930375 is about 214.9422956732.

The spelling of 9930375 in words is "nine million, nine hundred thirty thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 97 105 117 125 175 195 225 273 291 315 325 375 455 485 525 585 679 819 873 875 975 1125 1261 1365 1455 1575 1625 2037 2275 2425 2625 2925 3395 3783 4095 4365 4875 6111 6305 6825 7275 7875 8827 10185 11349 11375 12125 14625 16975 18915 20475 21825 26481 30555 31525 34125 36375 44135 50925 56745 79443 84875 94575 102375 109125 132405 152775 157625 220675 254625 283725 397215 472875 662025 763875 1103375 1418625 1986075 3310125 9930375