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9890868 = 22313194771
BaseRepresentation
bin100101101110…
…110000110100
3200121111201110
4211232300310
510013001433
6551555020
7150033231
oct45566064
920544643
109890868
115646179
12338ba70
132083cb0
141456788
15d05963
hex96ec34

9890868 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2782080.

The previous prime is 9890863. The next prime is 9890869. The reversal of 9890868 is 8680989.

9890868 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9890863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139273 + ... + 139343.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 29890868 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 9890868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

9890868 is an abundant number, since it is smaller than the sum of its proper divisors (17204172).

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

9890868 is a wasteful number, since it uses less digits than its factorization.

9890868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 9890868 is about 3144.9750396466. The cubic root of 9890868 is about 214.6568747168.

The spelling of 9890868 in words is "nine million, eight hundred ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 47 52 57 71 76 78 94 114 141 142 156 188 213 228 247 282 284 426 494 564 611 741 852 893 923 988 1222 1349 1482 1786 1833 1846 2444 2679 2698 2769 2964 3337 3572 3666 3692 4047 5358 5396 5538 6674 7332 8094 10011 10716 11076 11609 13348 16188 17537 20022 23218 34827 35074 40044 43381 46436 52611 63403 69654 70148 86762 105222 126806 130143 139308 173524 190209 210444 253612 260286 380418 520572 760836 824239 1648478 2472717 3296956 4945434 9890868