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10089216 = 283229151
BaseRepresentation
bin100110011111…
…001100000000
3200222120210200
4212133030000
510040323331
61000125200
7151520424
oct46371400
920876720
1010089216
1157711a5
123466800
132123367
1414a8b84
15d445e6
hex99f300

10089216 has 108 divisors (see below), whose sum is σ = 30292080. Its totient is φ = 3225600.

The previous prime is 10089199. The next prime is 10089221. The reversal of 10089216 is 61298001.

It is a self number, because there is not a number n which added to its sum of digits gives 10089216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66741 + ... + 66891.

Almost surely, 210089216 is an apocalyptic number.

10089216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146040).

10089216 is an abundant number, since it is smaller than the sum of its proper divisors (20202864).

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

10089216 is a wasteful number, since it uses less digits than its factorization.

10089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 10089216 is about 3176.3526252606. The cubic root of 10089216 is about 216.0822731854.

The spelling of 10089216 in words is "ten million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 151 174 192 232 256 261 288 302 348 384 453 464 522 576 604 696 768 906 928 1044 1152 1208 1359 1392 1812 1856 2088 2304 2416 2718 2784 3624 3712 4176 4379 4832 5436 5568 7248 7424 8352 8758 9664 10872 11136 13137 14496 16704 17516 19328 21744 22272 26274 28992 33408 35032 38656 39411 43488 52548 57984 66816 70064 78822 86976 105096 115968 140128 157644 173952 210192 280256 315288 347904 420384 560512 630576 840768 1121024 1261152 1681536 2522304 3363072 5044608 10089216