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681848320 = 295833209
BaseRepresentation
bin101000101001000…
…010111000000000
31202112000111001111
4220221002320000
52344023121240
6151354213104
722616420656
oct5051027000
91675014044
10681848320
1131a98180a
12170424194
13ab35535a
14667b0dd6
153ecd91ea
hex28a42e00

681848320 has 80 divisors (see below), whose sum is σ = 1655050320. Its totient is φ = 269369344.

The previous prime is 681848311. The next prime is 681848329. The reversal of 681848320 is 23848186.

It is an interprime number because it is at equal distance from previous prime (681848311) and next prime (681848329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681848329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210876 + ... + 214084.

It is an arithmetic number, because the mean of its divisors is an integer number (20688129).

Almost surely, 2681848320 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 681848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827525160).

681848320 is an abundant number, since it is smaller than the sum of its proper divisors (973202000).

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

681848320 is an equidigital number, since it uses as much as digits as its factorization.

681848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 681848320 is about 26112.2254892225. The cubic root of 681848320 is about 880.1619536636.

The spelling of 681848320 in words is "six hundred eighty-one million, eight hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1280 1328 1660 2560 2656 3209 3320 5312 6418 6640 10624 12836 13280 16045 21248 25672 26560 32090 42496 51344 53120 64180 102688 106240 128360 205376 212480 256720 266347 410752 513440 532694 821504 1026880 1065388 1331735 1643008 2053760 2130776 2663470 4107520 4261552 5326940 8215040 8523104 10653880 17046208 21307760 34092416 42615520 68184832 85231040 136369664 170462080 340924160 681848320