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9890944 = 27721983
BaseRepresentation
bin100101101110…
…110010000000
3200121111211021
4211232302000
510013002234
6551555224
7150033400
oct45566200
920544737
109890944
115646238
12338bb14
13208403b
141456800
15d059b4
hex96ec80

9890944 has 96 divisors (see below), whose sum is σ = 24418800. Its totient is φ = 3967488.

The previous prime is 9890941. The next prime is 9890977. The reversal of 9890944 is 4490989.

It is a super-2 number, since 2×98909442 = 195661546422272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9890944.

It is not an unprimeable number, because it can be changed into a prime (9890941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119127 + ... + 119209.

Almost surely, 29890944 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 9890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12209400).

9890944 is an abundant number, since it is smaller than the sum of its proper divisors (14527856).

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

9890944 is a wasteful number, since it uses less digits than its factorization.

9890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 9890944 is about 3144.9871223902. The cubic root of 9890944 is about 214.6574245128.

The spelling of 9890944 in words is "nine million, eight hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 83 98 112 128 133 152 166 196 224 266 304 332 392 448 532 581 608 664 784 896 931 1064 1162 1216 1328 1568 1577 1862 2128 2324 2432 2656 3136 3154 3724 4067 4256 4648 5312 6272 6308 7448 8134 8512 9296 10624 11039 12616 14896 16268 17024 18592 22078 25232 29792 32536 37184 44156 50464 59584 65072 74368 77273 88312 100928 119168 130144 154546 176624 201856 260288 309092 353248 520576 618184 706496 1236368 1412992 2472736 4945472 9890944