Search a number
-
+
9991072 = 257134773
BaseRepresentation
bin100110000111…
…001110100000
3200210121011201
4212013032200
510024203242
6554050544
7150631330
oct46071640
920717151
109991072
115704493
123419a54
1320ba7a0
1414810c0
15d254b7
hex9873a0

9991072 has 96 divisors (see below), whose sum is σ = 25062912. Its totient is φ = 3815424.

The previous prime is 9991067. The next prime is 9991123. The reversal of 9991072 is 2701999.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136828 + ... + 136900.

It is an arithmetic number, because the mean of its divisors is an integer number (261072).

Almost surely, 29991072 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 9991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531456).

9991072 is an abundant number, since it is smaller than the sum of its proper divisors (15071840).

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

9991072 is a wasteful number, since it uses less digits than its factorization.

9991072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 9991072 is about 3160.8657042019. The cubic root of 9991072 is about 215.3793339364.

The spelling of 9991072 in words is "nine million, nine hundred ninety-one thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 73 91 94 104 112 146 182 188 208 224 292 329 364 376 416 511 584 611 658 728 752 949 1022 1168 1222 1316 1456 1504 1898 2044 2336 2444 2632 2912 3431 3796 4088 4277 4888 5264 6643 6862 7592 8176 8554 9776 10528 13286 13724 15184 16352 17108 19552 24017 26572 27448 30368 34216 44603 48034 53144 54896 68432 89206 96068 106288 109792 136864 178412 192136 212576 312221 356824 384272 624442 713648 768544 1248884 1427296 2497768 4995536 9991072