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10293516 = 223219101149
BaseRepresentation
bin100111010001…
…000100001100
3201100222001100
4213101010030
510113343031
61004343100
7153331152
oct47210414
921328040
1010293516
1158a0742
123544a90
13219534c
14151d3d2
15d84de6
hex9d110c

10293516 has 72 divisors (see below), whose sum is σ = 27846000. Its totient is φ = 3196800.

The previous prime is 10293499. The next prime is 10293527. The reversal of 10293516 is 61539201.

It is a self number, because there is not a number n which added to its sum of digits gives 10293516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69010 + ... + 69158.

It is an arithmetic number, because the mean of its divisors is an integer number (386750).

Almost surely, 210293516 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 10293516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923000).

10293516 is an abundant number, since it is smaller than the sum of its proper divisors (17552484).

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

10293516 is a wasteful number, since it uses less digits than its factorization.

10293516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10293516 is about 3208.3509783065. The cubic root of 10293516 is about 217.5310459052.

The spelling of 10293516 in words is "ten million, two hundred ninety-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 149 171 202 228 298 303 342 404 447 596 606 684 894 909 1212 1341 1788 1818 1919 2682 2831 3636 3838 5364 5662 5757 7676 8493 11324 11514 15049 16986 17271 23028 25479 30098 33972 34542 45147 50958 60196 69084 90294 101916 135441 180588 270882 285931 541764 571862 857793 1143724 1715586 2573379 3431172 5146758 10293516