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9897984 = 21133179
BaseRepresentation
bin100101110000…
…100000000000
3200121212111000
4211300200000
510013213414
6552052000
7150063045
oct45604000
920555430
109897984
115650558
123394000
1320872c5
1414591cc
15d07b09
hex970800

9897984 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 3280896.

The previous prime is 9897983. The next prime is 9898001. The reversal of 9897984 is 4897989.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9897984.

It is not an unprimeable number, because it can be changed into a prime (9897983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55207 + ... + 55385.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 29897984 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 9897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

9897984 is an abundant number, since it is smaller than the sum of its proper divisors (19586016).

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

9897984 is a wasteful number, since it uses less digits than its factorization.

9897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 9897984 is about 3146.1061647694. The cubic root of 9897984 is about 214.7083407811.

The spelling of 9897984 in words is "nine million, eight hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 179 192 216 256 288 358 384 432 512 537 576 716 768 864 1024 1074 1152 1432 1536 1611 1728 2048 2148 2304 2864 3072 3222 3456 4296 4608 4833 5728 6144 6444 6912 8592 9216 9666 11456 12888 13824 17184 18432 19332 22912 25776 27648 34368 38664 45824 51552 55296 68736 77328 91648 103104 137472 154656 183296 206208 274944 309312 366592 412416 549888 618624 824832 1099776 1237248 1649664 2474496 3299328 4948992 9897984