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9999072 = 253371163
BaseRepresentation
bin100110001001…
…001011100000
3200211000011000
4212021023200
510024432242
6554152000
7150663546
oct46111340
920730130
109999072
11570a4a6
123422600
1320c1315
141483d96
15d27a4c
hex9892e0

9999072 has 96 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3265920.

The previous prime is 9999071. The next prime is 9999083. The reversal of 9999072 is 2709999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99990722 = 199962881722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61263 + ... + 61425.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 29999072 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 9999072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

9999072 is an abundant number, since it is smaller than the sum of its proper divisors (19757088).

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

9999072 is a wasteful number, since it uses less digits than its factorization.

9999072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 9999072 is about 3162.1309270807. The cubic root of 9999072 is about 215.4368044124.

The spelling of 9999072 in words is "nine million, nine hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 163 213 216 284 288 326 426 432 489 568 639 652 852 864 978 1136 1278 1304 1467 1704 1917 1956 2272 2556 2608 2934 3408 3834 3912 4401 5112 5216 5868 6816 7668 7824 8802 10224 11573 11736 15336 15648 17604 20448 23146 23472 30672 34719 35208 46292 46944 61344 69438 70416 92584 104157 138876 140832 185168 208314 277752 312471 370336 416628 555504 624942 833256 1111008 1249884 1666512 2499768 3333024 4999536 9999072