Search a number
-
+
10296396 = 223711107
BaseRepresentation
bin100111010001…
…110001001100
3201101010000000
4213101301030
510113441041
61004404300
7153342435
oct47216114
921333000
1010296396
1158a2920
123546690
132196756
14152048c
15d85bb6
hex9d1c4c

10296396 has 96 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 3090960.

The previous prime is 10296379. The next prime is 10296401. The reversal of 10296396 is 69369201.

10296396 is a `hidden beast` number, since 10 + 2 + 9 + 639 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10296396.

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, 96175 + ... + 96281.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 210296396 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 10296396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

10296396 is an abundant number, since it is smaller than the sum of its proper divisors (19459764).

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

10296396 is a wasteful number, since it uses less digits than its factorization.

10296396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10296396 is about 3208.7997756170. The cubic root of 10296396 is about 217.5513315230.

The spelling of 10296396 in words is "ten million, two hundred ninety-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 107 108 132 162 198 214 243 297 321 324 396 428 486 594 642 729 891 963 972 1177 1188 1284 1458 1782 1926 2187 2354 2673 2889 2916 3531 3564 3852 4374 4708 5346 5778 7062 8019 8667 8748 10593 10692 11556 14124 16038 17334 21186 24057 26001 31779 32076 34668 42372 48114 52002 63558 78003 95337 96228 104004 127116 156006 190674 234009 286011 312012 381348 468018 572022 858033 936036 1144044 1716066 2574099 3432132 5148198 10296396