Search a number
-
+
68446512 = 24331931269
BaseRepresentation
bin1000001010001…
…10100100110000
311202210102222000
410011012210300
5120010242022
610443014000
71460533341
oct405064460
9152712860
1068446512
11356aa972
121ab0a300
13112466c4
14913a0c8
1560206ac
hex4146930

68446512 has 160 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 20839680.

The previous prime is 68446451. The next prime is 68446513. The reversal of 68446512 is 21564486.

It is a super-2 number, since 2×684465122 = 9369850009932288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (68446513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254314 + ... + 254582.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 268446512 is an apocalyptic number.

68446512 is a gapful number since it is divisible by the number (62) 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 68446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

68446512 is an abundant number, since it is smaller than the sum of its proper divisors (145825488).

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

68446512 is a wasteful number, since it uses less digits than its factorization.

68446512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 68446512 is about 8273.2407193312. The cubic root of 68446512 is about 409.0569481303.

The spelling of 68446512 in words is "sixty-eight million, four hundred forty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 31 36 38 48 54 57 62 72 76 93 108 114 124 144 152 171 186 216 228 248 269 279 304 342 372 432 456 496 513 538 558 589 684 744 807 837 912 1026 1076 1116 1178 1368 1488 1614 1674 1767 2052 2152 2232 2356 2421 2736 3228 3348 3534 4104 4304 4464 4712 4842 5111 5301 6456 6696 7068 7263 8208 8339 9424 9684 10222 10602 12912 13392 14136 14526 15333 15903 16678 19368 20444 21204 25017 28272 29052 30666 31806 33356 38736 40888 42408 45999 50034 58104 61332 63612 66712 75051 81776 84816 91998 100068 116208 122664 127224 133424 137997 150102 158441 183996 200136 225153 245328 254448 275994 300204 316882 367992 400272 450306 475323 551988 600408 633764 735984 900612 950646 1103976 1200816 1267528 1425969 1801224 1901292 2207952 2535056 2851938 3602448 3802584 4277907 5703876 7605168 8555814 11407752 17111628 22815504 34223256 68446512