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1268851740 = 2235134337831
BaseRepresentation
bin100101110100001…
…0010010000011100
310021102120100100220
41023220102100130
510044311223430
6325523521340
743305030132
oct11350222034
93242510326
101268851740
115a1263102
122b4b29250
13172b50460
14c0733752
15765db110
hex4ba1241c

1268851740 has 96 divisors (see below), whose sum is σ = 3915158016. Its totient is φ = 305061120.

The previous prime is 1268851739. The next prime is 1268851781. The reversal of 1268851740 is 471588621.

It is a junction number, because it is equal to n+sod(n) for n = 1268851692 and 1268851701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14625 + ... + 52455.

It is an arithmetic number, because the mean of its divisors is an integer number (40782896).

Almost surely, 21268851740 is an apocalyptic number.

1268851740 is a gapful number since it is divisible by the number (10) 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 1268851740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957579008).

1268851740 is an abundant number, since it is smaller than the sum of its proper divisors (2646306276).

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

1268851740 is a wasteful number, since it uses less digits than its factorization.

1268851740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37899 (or 37897 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1268851740 is about 35620.9452429326. The cubic root of 1268851740 is about 1082.6056597081.

The spelling of 1268851740 in words is "one billion, two hundred sixty-eight million, eight hundred fifty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 33540 37831 75662 113493 151324 189155 226986 378310 453972 491803 567465 756620 983606 1134930 1475409 1626733 1967212 2269860 2459015 2950818 3253466 4880199 4918030 5901636 6506932 7377045 8133665 9760398 9836060 14754090 16267330 19520796 21147529 24400995 29508180 32534660 42295058 48801990 63442587 84590116 97603980 105737645 126885174 211475290 253770348 317212935 422950580 634425870 1268851740