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681247968 = 25343792089
BaseRepresentation
bin101000100110110…
…000010011100000
31202110212222112020
4220212300103200
52343344413333
6151333301440
722611340452
oct5046602340
91673788466
10681247968
1131a601755
12170194880
13ab1a500b
14666962d2
153ec1b3b3
hex289b04e0

681247968 has 96 divisors (see below), whose sum is σ = 1853913600. Its totient is φ = 218889216.

The previous prime is 681247967. The next prime is 681247969. The reversal of 681247968 is 869742186.

It is an interprime number because it is at equal distance from previous prime (681247967) and next prime (681247969).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 681247968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681247967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 325068 + ... + 327156.

It is an arithmetic number, because the mean of its divisors is an integer number (19311600).

Almost surely, 2681247968 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 681247968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926956800).

681247968 is an abundant number, since it is smaller than the sum of its proper divisors (1172665632).

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

681247968 is a wasteful number, since it uses less digits than its factorization.

681247968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 681247968 is about 26100.7273461871. The cubic root of 681247968 is about 879.9035569239.

The spelling of 681247968 in words is "six hundred eighty-one million, two hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 79 86 96 129 158 172 237 258 316 344 474 516 632 688 948 1032 1264 1376 1896 2064 2089 2528 3397 3792 4128 4178 6267 6794 7584 8356 10191 12534 13588 16712 20382 25068 27176 33424 40764 50136 54352 66848 81528 89827 100272 108704 163056 165031 179654 200544 269481 326112 330062 359308 495093 538962 660124 718616 990186 1077924 1320248 1437232 1980372 2155848 2640496 2874464 3960744 4311696 5280992 7096333 7921488 8623392 14192666 15842976 21288999 28385332 42577998 56770664 85155996 113541328 170311992 227082656 340623984 681247968