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9980544 = 27374779
BaseRepresentation
bin100110000100…
…101010000000
3200210001201210
4212010222000
510023334134
6553530120
7150555540
oct46045200
920701653
109980544
1156a7592
123413940
1320b5a62
14147b320
15d222e9
hex984a80

9980544 has 128 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 2755584.

The previous prime is 9980539. The next prime is 9980599. The reversal of 9980544 is 4450899.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×99805442 = 199222517071872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126297 + ... + 126375.

It is an arithmetic number, because the mean of its divisors is an integer number (244800).

Almost surely, 29980544 is an apocalyptic number.

9980544 is a gapful number since it is divisible by the number (94) 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 9980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

9980544 is an abundant number, since it is smaller than the sum of its proper divisors (21353856).

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

9980544 is a wasteful number, since it uses less digits than its factorization.

9980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 9980544 is about 3159.1998987085. The cubic root of 9980544 is about 215.3036560195.

The spelling of 9980544 in words is "nine million, nine hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 79 84 94 96 112 128 141 158 168 188 192 224 237 282 316 329 336 376 384 448 474 553 564 632 658 672 752 896 948 987 1106 1128 1264 1316 1344 1504 1659 1896 1974 2212 2256 2528 2632 2688 3008 3318 3713 3792 3948 4424 4512 5056 5264 6016 6636 7426 7584 7896 8848 9024 10112 10528 11139 13272 14852 15168 15792 17696 18048 21056 22278 25991 26544 29704 30336 31584 35392 42112 44556 51982 53088 59408 63168 70784 77973 89112 103964 106176 118816 126336 155946 178224 207928 212352 237632 311892 356448 415856 475264 623784 712896 831712 1247568 1425792 1663424 2495136 3326848 4990272 9980544