Search a number
-
+
9006720 = 27354691
BaseRepresentation
bin100010010110…
…111010000000
3121221120220020
4202112322000
54301203340
6521013440
7136361442
oct42267200
917846806
109006720
1150a1978
123024280
131b34728
1412a6492
15bcd9d0
hex896e80

9006720 has 64 divisors (see below), whose sum is σ = 28715040. Its totient is φ = 2401280.

The previous prime is 9006707. The next prime is 9006749. The reversal of 9006720 is 276009.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×90067202 = 162242010316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 426 + ... + 4265.

Almost surely, 29006720 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 9006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357520).

9006720 is an abundant number, since it is smaller than the sum of its proper divisors (19708320).

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

9006720 is a wasteful number, since it uses less digits than its factorization.

9006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 9006720 is about 3001.1197910113. The cubic root of 9006720 is about 208.0601404005.

The spelling of 9006720 in words is "nine million, six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4691 9382 14073 18764 23455 28146 37528 46910 56292 70365 75056 93820 112584 140730 150112 187640 225168 281460 300224 375280 450336 562920 600448 750560 900672 1125840 1501120 1801344 2251680 3002240 4503360 9006720