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1319379705 = 33572360703
BaseRepresentation
bin100111010100100…
…0010001011111001
310101221122102201000
41032221002023321
510200230122310
6334530515213
744460354030
oct11651021371
93357572630
101319379705
11617834556
12309a35b09
13180461c67
14c7327717
157ac6c4c0
hex4ea422f9

1319379705 has 64 divisors (see below), whose sum is σ = 2797240320. Its totient is φ = 576911808.

The previous prime is 1319379701. The next prime is 1319379749. The reversal of 1319379705 is 5079739131.

It is not a de Polignac number, because 1319379705 - 22 = 1319379701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1319379701) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8617 + ... + 52086.

It is an arithmetic number, because the mean of its divisors is an integer number (43706880).

Almost surely, 21319379705 is an apocalyptic number.

1319379705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1319379705 is an abundant number, since it is smaller than the sum of its proper divisors (1477860615).

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

1319379705 is a wasteful number, since it uses less digits than its factorization.

1319379705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60747 (or 60741 counting only the distinct ones).

The product of its (nonzero) digits is 178605, while the sum is 45.

The square root of 1319379705 is about 36323.2667170782. The cubic root of 1319379705 is about 1096.7894553784.

The spelling of 1319379705 in words is "one billion, three hundred nineteen million, three hundred seventy-nine thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 7245 21735 60703 182109 303515 424921 546327 910545 1274763 1396169 1638981 2124605 2731635 3824289 4188507 6373815 6980845 8194905 9773183 11472867 12565521 19121445 20942535 29319549 37696563 48865915 57364335 62827605 87958647 146597745 188482815 263875941 439793235 1319379705