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1301399040 = 2935414133
BaseRepresentation
bin100110110010001…
…1100011000000000
310100200210220212110
41031210130120000
510131124232130
6333045255320
744151465204
oct11544343000
93320726773
101301399040
116086733a7
12303a04540
13179807a06
14c4ba6b04
15793b9ab0
hex4d91c600

1301399040 has 160 divisors (see below), whose sum is σ = 4262914656. Its totient is φ = 338493440.

The previous prime is 1301399023. The next prime is 1301399051. The reversal of 1301399040 is 409931031.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13013990402 = 3387278922625843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1301398989 and 1301399007.

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 15 ways as a sum of consecutive naturals, for example, 312814 + ... + 316946.

Almost surely, 21301399040 is an apocalyptic number.

1301399040 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 1301399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131457328).

1301399040 is an abundant number, since it is smaller than the sum of its proper divisors (2961515616).

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

1301399040 is an equidigital number, since it uses as much as digits as its factorization.

1301399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1301399040 is about 36074.9087316933. The cubic root of 1301399040 is about 1091.7842561081.

The spelling of 1301399040 in words is "one billion, three hundred one million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 256 320 328 384 410 480 492 512 615 640 656 768 820 960 984 1230 1280 1312 1536 1640 1920 1968 2460 2560 2624 3280 3840 3936 4133 4920 5248 6560 7680 7872 8266 9840 10496 12399 13120 15744 16532 19680 20665 20992 24798 26240 31488 33064 39360 41330 49596 52480 61995 62976 66128 78720 82660 99192 104960 123990 132256 157440 165320 169453 198384 247980 264512 314880 330640 338906 396768 495960 508359 529024 661280 677812 793536 847265 991920 1016718 1058048 1322560 1355624 1587072 1694530 1983840 2033436 2116096 2541795 2645120 2711248 3174144 3389060 3967680 4066872 5083590 5290240 5422496 6348288 6778120 7935360 8133744 10167180 10580480 10844992 13556240 15870720 16267488 20334360 21689984 27112480 31741440 32534976 40668720 43379968 54224960 65069952 81337440 86759936 108449920 130139904 162674880 216899840 260279808 325349760 433799680 650699520 1301399040