Search a number
-
+
68468736 = 21437199
BaseRepresentation
bin1000001010011…
…00000000000000
311202211120110010
410011030000000
5120011444421
610443304520
71460655210
oct405140000
9152746403
1068468736
1135715636
121ab1b140
131125385b
149144240
156027076
hex414c000

68468736 has 120 divisors (see below), whose sum is σ = 209708800. Its totient is φ = 19464192.

The previous prime is 68468731. The next prime is 68468783. The reversal of 68468736 is 63786486.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68468731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343965 + ... + 344163.

Almost surely, 268468736 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 68468736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104854400).

68468736 is an abundant number, since it is smaller than the sum of its proper divisors (141240064).

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

68468736 is an equidigital number, since it uses as much as digits as its factorization.

68468736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 211 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 68468736 is about 8274.5837357537. The cubic root of 68468736 is about 409.1012157762.

The spelling of 68468736 in words is "sixty-eight million, four hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 256 336 384 398 448 512 597 672 768 796 896 1024 1194 1344 1393 1536 1592 1792 2048 2388 2688 2786 3072 3184 3584 4096 4179 4776 5376 5572 6144 6368 7168 8192 8358 9552 10752 11144 12288 12736 14336 16384 16716 19104 21504 22288 24576 25472 28672 33432 38208 43008 44576 49152 50944 57344 66864 76416 86016 89152 101888 114688 133728 152832 172032 178304 203776 267456 305664 344064 356608 407552 534912 611328 713216 815104 1069824 1222656 1426432 1630208 2139648 2445312 2852864 3260416 4279296 4890624 5705728 8558592 9781248 11411456 17117184 22822912 34234368 68468736