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1378095080 = 2351929312017
BaseRepresentation
bin101001000100100…
…0000111111101000
310120001010111001112
41102021000333220
510310243020310
6344425205452
746102420625
oct12211007750
93501114045
101378095080
1164799825a
12325630888
1318c67c29b
14d104d34c
1580eb9705
hex52240fe8

1378095080 has 128 divisors (see below), whose sum is σ = 3487104000. Its totient is φ = 487710720.

The previous prime is 1378095079. The next prime is 1378095083. The reversal of 1378095080 is 805908731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1378095083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682232 + ... + 684248.

It is an arithmetic number, because the mean of its divisors is an integer number (27243000).

Almost surely, 21378095080 is an apocalyptic number.

1378095080 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 1378095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743552000).

1378095080 is an abundant number, since it is smaller than the sum of its proper divisors (2109008920).

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

1378095080 is a wasteful number, since it uses less digits than its factorization.

1378095080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1378095080 is about 37122.7030265847. The cubic root of 1378095080 is about 1112.8237711006.

The spelling of 1378095080 in words is "one billion, three hundred seventy-eight million, ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 29 31 38 40 58 62 76 95 116 124 145 152 155 190 232 248 290 310 380 551 580 589 620 760 899 1102 1160 1178 1240 1798 2017 2204 2356 2755 2945 3596 4034 4408 4495 4712 5510 5890 7192 8068 8990 10085 11020 11780 16136 17081 17980 20170 22040 23560 34162 35960 38323 40340 58493 62527 68324 76646 80680 85405 116986 125054 136648 153292 170810 191615 233972 250108 292465 306584 312635 341620 383230 467944 500216 584930 625270 683240 766460 1111367 1169860 1188013 1250540 1532920 1813283 2222734 2339720 2376026 2501080 3626566 4445468 4752052 5556835 5940065 7253132 8890936 9066415 9504104 11113670 11880130 14506264 18132830 22227340 23760260 34452377 36265660 44454680 47520520 68904754 72531320 137809508 172261885 275619016 344523770 689047540 1378095080