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1375896704 = 27713196217
BaseRepresentation
bin101001000000010…
…1000010010000000
310112212222210110012
41102000220102000
510304212143304
6344310124052
746044633440
oct12200502200
93485883405
101375896704
11646726616
12324950628
1318c08c780
14d0a3a120
1580bd316e
hex52028480

1375896704 has 128 divisors (see below), whose sum is σ = 3551721600. Its totient is φ = 515579904.

The previous prime is 1375896673. The next prime is 1375896707. The reversal of 1375896704 is 4076985731.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1375896707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218204 + ... + 224420.

It is an arithmetic number, because the mean of its divisors is an integer number (27747825).

Almost surely, 21375896704 is an apocalyptic number.

1375896704 is a gapful number since it is divisible by the number (14) 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 1375896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775860800).

1375896704 is an abundant number, since it is smaller than the sum of its proper divisors (2175824896).

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

1375896704 is a wasteful number, since it uses less digits than its factorization.

1375896704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 1375896704 is about 37093.0816190836. The cubic root of 1375896704 is about 1112.2317202524.

The spelling of 1375896704 in words is "one billion, three hundred seventy-five million, eight hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 896 988 1064 1216 1456 1664 1729 1976 2128 2432 2912 3458 3952 4256 5824 6217 6916 7904 8512 11648 12434 13832 15808 17024 24868 27664 31616 43519 49736 55328 80821 87038 99472 110656 118123 161642 174076 198944 221312 236246 323284 348152 397888 472492 565747 646568 696304 795776 826861 944984 1131494 1293136 1392608 1535599 1653722 1889968 2262988 2586272 2785216 3071198 3307444 3779936 4525976 5172544 5570432 6142396 6614888 7559872 9051952 10345088 10749193 12284792 13229776 15119744 18103904 21498386 24569584 26459552 36207808 42996772 49139168 52919104 72415616 85993544 98278336 105838208 171987088 196556672 343974176 687948352 1375896704