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1378874980 = 2257431991151
BaseRepresentation
bin101001000101111…
…1111011001100100
310120002121002212201
41102023333121210
510310442444410
6344454024244
746112146450
oct12213773144
93502532781
101378874980
116483801aa
12325948084
1318c893272
14d11b3660
15810c083a
hex522ff664

1378874980 has 96 divisors (see below), whose sum is σ = 3406233600. Its totient is φ = 459043200.

The previous prime is 1378874969. The next prime is 1378875007. The reversal of 1378874980 is 894788731.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197405 + ... + 1198555.

It is an arithmetic number, because the mean of its divisors is an integer number (35481600).

Almost surely, 21378874980 is an apocalyptic number.

1378874980 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 1378874980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703116800).

1378874980 is an abundant number, since it is smaller than the sum of its proper divisors (2027358620).

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

1378874980 is a wasteful number, since it uses less digits than its factorization.

1378874980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 55.

The square root of 1378874980 is about 37133.2058944552. The cubic root of 1378874980 is about 1113.0336568582.

The spelling of 1378874980 in words is "one billion, three hundred seventy-eight million, eight hundred seventy-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 199 215 301 398 430 602 796 860 995 1151 1204 1393 1505 1990 2302 2786 3010 3980 4604 5572 5755 6020 6965 8057 8557 11510 13930 16114 17114 23020 27860 32228 34228 40285 42785 49493 59899 80570 85570 98986 119798 161140 171140 197972 229049 239596 247465 299495 346451 458098 494930 598990 692902 916196 989860 1145245 1197980 1385804 1603343 1732255 2290490 3206686 3464510 4580980 6413372 6929020 8016715 9849107 16033430 19698214 32066860 39396428 49245535 68943749 98491070 137887498 196982140 275774996 344718745 689437490 1378874980