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9730272 = 253791283
BaseRepresentation
bin100101000111…
…100011100000
3200022100102110
4211013203200
54442332042
6544315320
7145464066
oct45074340
920270373
109730272
115546552
123312b40
132028b76
141414036
15cc309c
hex9478e0

9730272 has 48 divisors (see below), whose sum is σ = 25885440. Its totient is φ = 3199872.

The previous prime is 9730247. The next prime is 9730291. The reversal of 9730272 is 2720379.

It is a tau number, because it is divible by the number of its divisors (48).

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, 6943 + ... + 8225.

It is an arithmetic number, because the mean of its divisors is an integer number (539280).

Almost surely, 29730272 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 9730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942720).

9730272 is an abundant number, since it is smaller than the sum of its proper divisors (16155168).

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

9730272 is a wasteful number, since it uses less digits than its factorization.

9730272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 9730272 is about 3119.3383913901. The cubic root of 9730272 is about 213.4887495968.

The spelling of 9730272 in words is "nine million, seven hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1283 1896 2528 2566 3792 3849 5132 7584 7698 10264 15396 20528 30792 41056 61584 101357 123168 202714 304071 405428 608142 810856 1216284 1621712 2432568 3243424 4865136 9730272