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1378387880 = 2351717311717
BaseRepresentation
bin101001000101000…
…1000011110101000
310120001200100200222
41102022020132220
510310331403010
6344435345212
746105050362
oct12212103650
93501610628
101378387880
11648078241
12325752208
1318c75263c
14d10c7d32
1581026355
hex522887a8

1378387880 has 64 divisors (see below), whose sum is σ = 3303069840. Its totient is φ = 515878912.

The previous prime is 1378387877. The next prime is 1378387883. The reversal of 1378387880 is 887838731.

It is an interprime number because it is at equal distance from previous prime (1378387877) and next prime (1378387883).

It can be written as a sum of positive squares in 8 ways, for example, as 629708836 + 748679044 = 25094^2 + 27362^2 .

It is not an unprimeable number, because it can be changed into a prime (1378387883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111782 + ... + 123498.

Almost surely, 21378387880 is an apocalyptic number.

1378387880 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 1378387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651534920).

1378387880 is an abundant number, since it is smaller than the sum of its proper divisors (1924681960).

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

1378387880 is a wasteful number, since it uses less digits than its factorization.

1378387880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 53.

The square root of 1378387880 is about 37126.6464954755. The cubic root of 1378387880 is about 1112.9025783689.

The spelling of 1378387880 in words is "one billion, three hundred seventy-eight million, three hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 173 340 346 680 692 865 1384 1730 2941 3460 5882 6920 11717 11764 14705 23434 23528 29410 46868 58585 58820 93736 117170 117640 199189 234340 398378 468680 796756 995945 1593512 1991890 2027041 3983780 4054082 7967560 8108164 10135205 16216328 20270410 34459697 40540820 68919394 81081640 137838788 172298485 275677576 344596970 689193940 1378387880