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10290984 = 23311172293
BaseRepresentation
bin100111010000…
…011100101000
3201100211120120
4213100130220
510113302414
61004323240
7153320604
oct47203450
921324516
1010290984
115899850
123543520
132194152
14151c504
15d842a9
hex9d0728

10290984 has 64 divisors (see below), whose sum is σ = 29730240. Its totient is φ = 2933760.

The previous prime is 10290971. The next prime is 10291007. The reversal of 10290984 is 48909201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3342 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (464535).

Almost surely, 210290984 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 10290984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14865120).

10290984 is an abundant number, since it is smaller than the sum of its proper divisors (19439256).

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

10290984 is a wasteful number, since it uses less digits than its factorization.

10290984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 10290984 is about 3207.9563588054. The cubic root of 10290984 is about 217.5132083404.

The spelling of 10290984 in words is "ten million, two hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2293 4488 4586 6879 9172 13758 18344 25223 27516 38981 50446 55032 75669 77962 100892 116943 151338 155924 201784 233886 302676 311848 428791 467772 605352 857582 935544 1286373 1715164 2572746 3430328 5145492 10290984