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9981712 = 2413371297
BaseRepresentation
bin100110000100…
…111100010000
3200210010100001
4212010330100
510023403322
6553535344
7150562126
oct46047420
920703301
109981712
1156a8454
123414554
1320b6450
14147b916
15d22827
hex984f10

9981712 has 40 divisors (see below), whose sum is σ = 21406616. Its totient is φ = 4478976.

The previous prime is 9981691. The next prime is 9981731. The reversal of 9981712 is 2171899.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 4946176 = 2244^2 + 2224^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7048 + ... + 8344.

Almost surely, 29981712 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 9981712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703308).

9981712 is an abundant number, since it is smaller than the sum of its proper divisors (11424904).

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

9981712 is a wasteful number, since it uses less digits than its factorization.

9981712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its digits is 9072, while the sum is 37.

The square root of 9981712 is about 3159.3847502322. The cubic root of 9981712 is about 215.3120545216.

The spelling of 9981712 in words is "nine million, nine hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1297 1924 2594 3848 5188 7696 10376 16861 20752 33722 47989 67444 95978 134888 191956 269776 383912 623857 767824 1247714 2495428 4990856 9981712