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9993120 = 2535109191
BaseRepresentation
bin100110000111…
…101110100000
3200210200222120
4212013232200
510024234440
6554104240
7150640314
oct46075640
920720876
109993120
115705a85
12341b080
1320bb6b7
141481b44
15d25dd0
hex987ba0

9993120 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 2626560.

The previous prime is 9993119. The next prime is 9993121. The reversal of 9993120 is 213999.

It is an interprime number because it is at equal distance from previous prime (9993119) and next prime (9993121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993121) 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 15 ways as a sum of consecutive naturals, for example, 52225 + ... + 52415.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 29993120 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 9993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

9993120 is an abundant number, since it is smaller than the sum of its proper divisors (21940320).

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

9993120 is a wasteful number, since it uses less digits than its factorization.

9993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 9993120 is about 3161.1896494832. The cubic root of 9993120 is about 215.3940492990.

The spelling of 9993120 in words is "nine million, nine hundred ninety-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 191 218 240 327 382 436 480 545 573 654 764 872 955 1090 1146 1308 1528 1635 1744 1910 2180 2292 2616 2865 3056 3270 3488 3820 4360 4584 5232 5730 6112 6540 7640 8720 9168 10464 11460 13080 15280 17440 18336 20819 22920 26160 30560 41638 45840 52320 62457 83276 91680 104095 124914 166552 208190 249828 312285 333104 416380 499656 624570 666208 832760 999312 1249140 1665520 1998624 2498280 3331040 4996560 9993120