Search a number
-
+
9942320 = 2451931211
BaseRepresentation
bin100101111011…
…010100110000
3200201010022002
4211323110300
510021123240
6553033132
7150336233
oct45732460
920633262
109942320
1156808a3
1233b57a8
1320a153b
14146b41a
15d15d15
hex97b530

9942320 has 80 divisors (see below), whose sum is σ = 25236480. Its totient is φ = 3628800.

The previous prime is 9942311. The next prime is 9942341. The reversal of 9942320 is 232499.

9942320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47015 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (315456).

Almost surely, 29942320 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 9942320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618240).

9942320 is an abundant number, since it is smaller than the sum of its proper divisors (15294160).

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

9942320 is a wasteful number, since it uses less digits than its factorization.

9942320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 9942320 is about 3153.1444622789. The cubic root of 9942320 is about 215.0284440464.

The spelling of 9942320 in words is "nine million, nine hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 211 248 304 310 380 422 496 589 620 760 844 1055 1178 1240 1520 1688 2110 2356 2480 2945 3376 4009 4220 4712 5890 6541 8018 8440 9424 11780 13082 16036 16880 20045 23560 26164 32072 32705 40090 47120 52328 64144 65410 80180 104656 124279 130820 160360 248558 261640 320720 497116 523280 621395 994232 1242790 1988464 2485580 4971160 9942320