Search a number
-
+
68161536 = 21232432
BaseRepresentation
bin1000001000000…
…01000000000000
311202020222001100
410010001000000
5114422132121
610432534400
71455235452
oct404010000
9152228040
1068161536
1135525853
121a9b1400
1311176a91
1490a42d2
155eb6026
hex4101000

68161536 has 117 divisors (see below), whose sum is σ = 201572319. Its totient is φ = 22192128.

The previous prime is 68161507. The next prime is 68161543. The reversal of 68161536 is 63516186.

68161536 = 13 + 23 + ... + 1283.

It is a happy number.

The square root of 68161536 is 8256.

It is a perfect power (a square), and thus also a powerful number.

68161536 is a `hidden beast` number, since 6 + 8 + 1 + 615 + 36 = 666.

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

Its product of digits (25920) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68161536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1585131 + ... + 1585173.

Almost surely, 268161536 is an apocalyptic number.

68161536 is the 8256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68161536

68161536 is an abundant number, since it is smaller than the sum of its proper divisors (133410783).

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

68161536 is an equidigital number, since it uses as much as digits as its factorization.

68161536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 48 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 68161536 is about 408.4884576609.

Multiplying 68161536 by its sum of digits (36), we get a square (2453815296 = 495362).

68161536 divided by its sum of digits (36) gives a square (1893376 = 13762).

It can be divided in two parts, 68 and 161536, that added together give a square (161604 = 4022).

The spelling of 68161536 in words is "sixty-eight million, one hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 1849 2048 2064 2304 2752 3072 3096 3698 4096 4128 4608 5504 5547 6144 6192 7396 8256 9216 11008 11094 12288 12384 14792 16512 16641 18432 22016 22188 24768 29584 33024 33282 36864 44032 44376 49536 59168 66048 66564 88064 88752 99072 118336 132096 133128 176128 177504 198144 236672 264192 266256 355008 396288 473344 528384 532512 710016 792576 946688 1065024 1420032 1585152 1893376 2130048 2840064 3786752 4260096 5680128 7573504 8520192 11360256 17040384 22720512 34080768 68161536