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9213696 = 28333143
BaseRepresentation
bin100011001001…
…011100000000
3122100002211000
4203021130000
54324314241
6525252000
7141213042
oct43113400
918302730
109213696
115223428
123104000
131ba79bb
14131ba92
15c1eeb6
hex8c9700

9213696 has 144 divisors (see below), whose sum is σ = 28779520. Its totient is φ = 2903040.

The previous prime is 9213683. The next prime is 9213697. The reversal of 9213696 is 6963129.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9213696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9213697) 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, 214251 + ... + 214293.

Almost surely, 29213696 is an apocalyptic number.

9213696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14389760).

9213696 is an abundant number, since it is smaller than the sum of its proper divisors (19565824).

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

9213696 is a wasteful number, since it uses less digits than its factorization.

9213696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 9213696 is about 3035.4070567224. The cubic root of 9213696 is about 209.6418384712.

The spelling of 9213696 in words is "nine million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 64 72 86 93 96 108 124 128 129 144 172 186 192 216 248 256 258 279 288 344 372 384 387 432 496 516 558 576 688 744 768 774 837 864 992 1032 1116 1152 1161 1333 1376 1488 1548 1674 1728 1984 2064 2232 2304 2322 2666 2752 2976 3096 3348 3456 3968 3999 4128 4464 4644 5332 5504 5952 6192 6696 6912 7936 7998 8256 8928 9288 10664 11008 11904 11997 12384 13392 15996 16512 17856 18576 21328 23808 23994 24768 26784 31992 33024 35712 35991 37152 42656 47988 49536 53568 63984 71424 71982 74304 85312 95976 99072 107136 127968 143964 148608 170624 191952 214272 255936 287928 297216 341248 383904 511872 575856 767808 1023744 1151712 1535616 2303424 3071232 4606848 9213696