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9708072 = 2331123343
BaseRepresentation
bin100101000010…
…001000101000
3200021012222020
4211002020220
54441124242
6544024440
7145342263
oct45021050
920235866
109708072
115530900
123302120
13201ba2a
141409cda
15cbb6ec
hex942228

9708072 has 48 divisors (see below), whose sum is σ = 26685120. Its totient is φ = 2940960.

The previous prime is 9707989. The next prime is 9708113. The reversal of 9708072 is 2708079.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1233 + ... + 4575.

It is an arithmetic number, because the mean of its divisors is an integer number (555940).

Almost surely, 29708072 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 9708072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342560).

9708072 is an abundant number, since it is smaller than the sum of its proper divisors (16977048).

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

9708072 is a wasteful number, since it uses less digits than its factorization.

9708072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 9708072 is about 3115.7779124963. Note that the first 3 decimals coincide. The cubic root of 9708072 is about 213.3262649568.

The spelling of 9708072 in words is "nine million, seven hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3343 6686 10029 13372 20058 26744 36773 40116 73546 80232 110319 147092 220638 294184 404503 441276 809006 882552 1213509 1618012 2427018 3236024 4854036 9708072