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1319746688 = 27134192
BaseRepresentation
bin100111010101001…
…1011110010000000
310101222100002002222
41032222123302000
510200323343223
6334542430212
744463442661
oct11652336200
93358302088
101319746688
11617a65247
12309b92368
13180560000
14c73c1368
157ace10c8
hex4ea9bc80

1319746688 has 120 divisors (see below), whose sum is σ = 3006072855. Its totient is φ = 577055232.

The previous prime is 1319746639. The next prime is 1319746711. The reversal of 1319746688 is 8866479131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 1319723584 = 152^2 + 36328^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25688.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 69460343 + ... + 69460361.

Almost surely, 21319746688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319746688

1319746688 is an abundant number, since it is smaller than the sum of its proper divisors (1686326167).

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

1319746688 is an frugal number, since it uses more digits than its factorization.

1319746688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 34 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 1319746688 is about 36328.3179902401. The cubic root of 1319746688 is about 1096.8911359309.

The spelling of 1319746688 in words is "one billion, three hundred nineteen million, seven hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 304 338 361 416 494 608 676 722 832 988 1216 1352 1444 1664 1976 2197 2432 2704 2888 3211 3952 4394 4693 5408 5776 6422 7904 8788 9386 10816 11552 12844 15808 17576 18772 21632 23104 25688 28561 31616 35152 37544 41743 46208 51376 57122 61009 70304 75088 83486 102752 114244 122018 140608 150176 166972 205504 228488 244036 281216 300352 333944 411008 456976 488072 542659 600704 667888 793117 913952 976144 1085318 1335776 1586234 1827904 1952288 2170636 2671552 3172468 3655808 3904576 4341272 5343104 6344936 7809152 8682544 10310521 12689872 17365088 20621042 25379744 34730176 41242084 50759488 69460352 82484168 101518976 164968336 329936672 659873344 1319746688