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1376388780 = 22351310916189
BaseRepresentation
bin101001000001010…
…0000011010101100
310112220220210110020
41102002200122230
510304323420110
6344324442140
746052053164
oct12202403254
93486823406
101376388780
11646a32298
12324b49350
1318c202740
14d0b275a4
1580c7dd70
hex520a06ac

1376388780 has 96 divisors (see below), whose sum is σ = 4188676800. Its totient is φ = 335674368.

The previous prime is 1376388779. The next prime is 1376388787. The reversal of 1376388780 is 878836731.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1376388787) by changing a digit.

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, 76926 + ... + 93114.

It is an arithmetic number, because the mean of its divisors is an integer number (43632050).

Almost surely, 21376388780 is an apocalyptic number.

1376388780 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 1376388780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094338400).

1376388780 is an abundant number, since it is smaller than the sum of its proper divisors (2812288020).

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

1376388780 is a wasteful number, since it uses less digits than its factorization.

1376388780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16323 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 1376388780 is about 37099.7140150703. The cubic root of 1376388780 is about 1112.3642973811.

The spelling of 1376388780 in words is "one billion, three hundred seventy-six million, three hundred eighty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 16189 17004 21255 28340 32378 42510 48567 64756 80945 85020 97134 161890 194268 210457 242835 323780 420914 485670 631371 841828 971340 1052285 1262742 1764601 2104570 2525484 3156855 3529202 4209140 5293803 6313710 7058404 8823005 10587606 12627420 17646010 21175212 22939813 26469015 35292020 45879626 52938030 68819439 91759252 105876060 114699065 137638878 229398130 275277756 344097195 458796260 688194390 1376388780