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1309481040 = 24357839391
BaseRepresentation
bin100111000001101…
…0001100001010000
310101021000112021210
41032003101201100
510140211343130
6333534420120
744310255660
oct11603214120
93337015253
101309481040
1161219353a
12306661640
1317b3a756a
14c5cac1a0
1579e645b0
hex4e0d1850

1309481040 has 160 divisors (see below), whose sum is σ = 4695699456. Its totient is φ = 295672320.

The previous prime is 1309481039. The next prime is 1309481071. The reversal of 1309481040 is 401849031.

It is a happy number.

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 = 1309480989 and 1309481007.

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, 134745 + ... + 144135.

Almost surely, 21309481040 is an apocalyptic number.

1309481040 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 1309481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347849728).

1309481040 is an abundant number, since it is smaller than the sum of its proper divisors (3386218416).

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

1309481040 is a wasteful number, since it uses less digits than its factorization.

1309481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1309481040 is about 36186.7522720677. The cubic root of 1309481040 is about 1094.0396742839.

The spelling of 1309481040 in words is "one billion, three hundred nine million, four hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 83 84 105 112 120 140 166 168 210 240 249 280 332 336 415 420 498 560 581 664 830 840 996 1162 1245 1328 1660 1680 1743 1992 2324 2490 2905 3320 3486 3984 4648 4980 5810 6640 6972 8715 9296 9391 9960 11620 13944 17430 18782 19920 23240 27888 28173 34860 37564 46480 46955 56346 65737 69720 75128 93910 112692 131474 139440 140865 150256 187820 197211 225384 262948 281730 328685 375640 394422 450768 525896 563460 657370 751280 779453 788844 986055 1051792 1126920 1314740 1558906 1577688 1972110 2253840 2338359 2629480 3117812 3155376 3897265 3944220 4676718 5258960 5456171 6235624 7794530 7888440 9353436 10912342 11691795 12471248 15589060 15776880 16368513 18706872 21824684 23383590 27280855 31178120 32737026 37413744 43649368 46767180 54561710 62356240 65474052 81842565 87298736 93534360 109123420 130948104 163685130 187068720 218246840 261896208 327370260 436493680 654740520 1309481040