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9874116 = 2233737353
BaseRepresentation
bin100101101010…
…101011000100
3200120122202000
4211222223010
510011432431
6551345300
7146633340
oct45525304
920518660
109874116
11563462a
123382230
132079495
141450620
15d009e6
hex96aac4

9874116 has 96 divisors (see below), whose sum is σ = 30132480. Its totient is φ = 2737152.

The previous prime is 9874103. The next prime is 9874121. The reversal of 9874116 is 6114789.

9874116 = T265 + T266 + ... + T426.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27796 + ... + 28148.

It is an arithmetic number, because the mean of its divisors is an integer number (313880).

Almost surely, 29874116 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 9874116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066240).

9874116 is an abundant number, since it is smaller than the sum of its proper divisors (20258364).

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

9874116 is a wasteful number, since it uses less digits than its factorization.

9874116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 9874116 is about 3142.3106148183. The cubic root of 9874116 is about 214.5356192988.

The spelling of 9874116 in words is "nine million, eight hundred seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 353 378 444 518 666 706 756 777 999 1036 1059 1332 1412 1554 1998 2118 2331 2471 3108 3177 3996 4236 4662 4942 6354 6993 7413 9324 9531 9884 12708 13061 13986 14826 19062 22239 26122 27972 29652 38124 39183 44478 52244 66717 78366 88956 91427 117549 133434 156732 182854 235098 266868 274281 352647 365708 470196 548562 705294 822843 1097124 1410588 1645686 2468529 3291372 4937058 9874116