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9980928 = 21033192
BaseRepresentation
bin100110000100…
…110000000000
3200210002021000
4212010300000
510023342203
6553532000
7150556626
oct46046000
920702230
109980928
1156a7901
123414000
1320b5c99
14147b516
15d224a3
hex984c00

9980928 has 132 divisors (see below), whose sum is σ = 31196280. Its totient is φ = 3151872.

The previous prime is 9980911. The next prime is 9980941. The reversal of 9980928 is 8290899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525303 + ... + 525321.

Almost surely, 29980928 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 9980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598140).

9980928 is an abundant number, since it is smaller than the sum of its proper divisors (21215352).

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

9980928 is a wasteful number, since it uses less digits than its factorization.

9980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9980928 is about 3159.2606730056. The cubic root of 9980928 is about 215.3064172432.

The spelling of 9980928 in words is "nine million, nine hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 361 384 432 456 512 513 576 608 684 722 768 864 912 1024 1026 1083 1152 1216 1368 1444 1536 1728 1824 2052 2166 2304 2432 2736 2888 3072 3249 3456 3648 4104 4332 4608 4864 5472 5776 6498 6912 7296 8208 8664 9216 9728 9747 10944 11552 12996 13824 14592 16416 17328 19456 19494 21888 23104 25992 27648 29184 32832 34656 38988 43776 46208 51984 58368 65664 69312 77976 87552 92416 103968 131328 138624 155952 175104 184832 207936 262656 277248 311904 369664 415872 525312 554496 623808 831744 1108992 1247616 1663488 2495232 3326976 4990464 9980928