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9120672 = 2532112879
BaseRepresentation
bin100010110010…
…101110100000
3122011101012200
4202302232200
54313330142
6523253200
7140344611
oct42625640
918141180
109120672
11516a550
12307a200
131b74562
1412d5c08
15c0264c
hex8b2ba0

9120672 has 72 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 2762880.

The previous prime is 9120667. The next prime is 9120677. The reversal of 9120672 is 2760219.

It is an interprime number because it is at equal distance from previous prime (9120667) and next prime (9120677).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (9120677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1729 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 29120672 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 9120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

9120672 is an abundant number, since it is smaller than the sum of its proper divisors (19183968).

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

9120672 is a wasteful number, since it uses less digits than its factorization.

9120672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9120672 is about 3020.0450327768. The cubic root of 9120672 is about 208.9339168226.

The spelling of 9120672 in words is "nine million, one hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 2879 3168 5758 8637 11516 17274 23032 25911 31669 34548 46064 51822 63338 69096 92128 95007 103644 126676 138192 190014 207288 253352 276384 285021 380028 414576 506704 570042 760056 829152 1013408 1140084 1520112 2280168 3040224 4560336 9120672