Search a number
-
+
9981400 = 23521113349
BaseRepresentation
bin100110000100…
…110111011000
3200210002220111
4212010313120
510023401100
6553534104
7150561202
oct46046730
920702814
109981400
1156a81a0
123414334
1320b6270
14147b772
15d226ba
hex984dd8

9981400 has 96 divisors (see below), whose sum is σ = 27342000. Its totient is φ = 3340800.

The previous prime is 9981383. The next prime is 9981463. The reversal of 9981400 is 41899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28426 + ... + 28774.

Almost surely, 29981400 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 9981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671000).

9981400 is an abundant number, since it is smaller than the sum of its proper divisors (17360600).

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

9981400 is a wasteful number, since it uses less digits than its factorization.

9981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 9981400 is about 3159.3353731442. The cubic root of 9981400 is about 215.3098111503.

The spelling of 9981400 in words is "nine million, nine hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 349 440 520 550 572 650 698 715 1100 1144 1300 1396 1430 1745 2200 2600 2792 2860 3490 3575 3839 4537 5720 6980 7150 7678 8725 9074 13960 14300 15356 17450 18148 19195 22685 28600 30712 34900 36296 38390 45370 49907 69800 76780 90740 95975 99814 113425 153560 181480 191950 199628 226850 249535 383900 399256 453700 499070 767800 907400 998140 1247675 1996280 2495350 4990700 9981400