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681345140 = 225729283593
BaseRepresentation
bin101000100111001…
…000000001110100
31202111001220211012
4220213020001310
52343411021030
6151335331352
722612223660
oct5047100164
91674056735
10681345140
1131a668763
12170220b58
13ab20a308
14666bd8a0
153ec3a095
hex289c8074

681345140 has 96 divisors (see below), whose sum is σ = 1700455680. Its totient is φ = 224372736.

The previous prime is 681345113. The next prime is 681345163. The reversal of 681345140 is 41543186.

It is a junction number, because it is equal to n+sod(n) for n = 681345097 and 681345106.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1148684 + ... + 1149276.

It is an arithmetic number, because the mean of its divisors is an integer number (17713080).

Almost surely, 2681345140 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 681345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850227840).

681345140 is an abundant number, since it is smaller than the sum of its proper divisors (1019110540).

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

681345140 is a wasteful number, since it uses less digits than its factorization.

681345140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 681345140 is about 26102.5887605042. The cubic root of 681345140 is about 879.9453908950.

The spelling of 681345140 in words is "six hundred eighty-one million, three hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 283 290 406 566 580 593 812 1015 1132 1186 1415 1981 2030 2372 2830 2965 3962 4060 4151 5660 5930 7924 8207 8302 9905 11860 16414 16604 17197 19810 20755 32828 34394 39620 41035 41510 57449 68788 82070 83020 85985 114898 120379 164140 167819 171970 229796 240758 287245 335638 343940 481516 574490 601895 671276 839095 1148980 1174733 1203790 1678190 2349466 2407580 3356380 4698932 4866751 5873665 9733502 11747330 19467004 23494660 24333755 34067257 48667510 68134514 97335020 136269028 170336285 340672570 681345140