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9193920 = 263561157
BaseRepresentation
bin100011000100…
…100111000000
3122022002200120
4203010213000
54323201140
6525020240
7141101301
oct43044700
918262616
109193920
11520a58a
1230b4680
131b9b9b8
1413147a8
15c191d0
hex8c49c0

9193920 has 112 divisors (see below), whose sum is σ = 29858208. Its totient is φ = 2396160.

The previous prime is 9193913. The next prime is 9193927. The reversal of 9193920 is 293919.

9193920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9193913) and next prime (9193927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9193927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58482 + ... + 58638.

Almost surely, 29193920 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 9193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929104).

9193920 is an abundant number, since it is smaller than the sum of its proper divisors (20664288).

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

9193920 is a wasteful number, since it uses less digits than its factorization.

9193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

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

The square root of 9193920 is about 3032.1477536558. The cubic root of 9193920 is about 209.4917413863.

The spelling of 9193920 in words is "nine million, one hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 157 160 183 192 240 244 305 314 320 366 471 480 488 610 628 732 785 915 942 960 976 1220 1256 1464 1570 1830 1884 1952 2355 2440 2512 2928 3140 3660 3768 3904 4710 4880 5024 5856 6280 7320 7536 9420 9577 9760 10048 11712 12560 14640 15072 18840 19154 19520 25120 28731 29280 30144 37680 38308 47885 50240 57462 58560 75360 76616 95770 114924 143655 150720 153232 191540 229848 287310 306464 383080 459696 574620 612928 766160 919392 1149240 1532320 1838784 2298480 3064640 4596960 9193920