Search a number
-
+
10191216 = 24373619
BaseRepresentation
bin100110111000…
…000101110000
3201011202201110
4212320011300
510102104331
61002233320
7152424000
oct46700560
921152643
1010191216
1158308a2
1234b5840
13215a909
1414d4000
15d64946
hex9b8170

10191216 has 80 divisors (see below), whose sum is σ = 30752000. Its totient is φ = 2907072.

The previous prime is 10191197. The next prime is 10191229. The reversal of 10191216 is 61219101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10191192 and 10191201.

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, 16155 + ... + 16773.

It is an arithmetic number, because the mean of its divisors is an integer number (384400).

Almost surely, 210191216 is an apocalyptic number.

10191216 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 10191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376000).

10191216 is an abundant number, since it is smaller than the sum of its proper divisors (20560784).

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

10191216 is an equidigital number, since it uses as much as digits as its factorization.

10191216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The square root of 10191216 is about 3192.3683997935. The cubic root of 10191216 is about 216.8080161159.

The spelling of 10191216 in words is "ten million, one hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 619 686 784 1029 1176 1238 1372 1857 2058 2352 2476 2744 3714 4116 4333 4952 5488 7428 8232 8666 9904 12999 14856 16464 17332 25998 29712 30331 34664 51996 60662 69328 90993 103992 121324 181986 207984 212317 242648 363972 424634 485296 636951 727944 849268 1273902 1455888 1698536 2547804 3397072 5095608 10191216