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1380128295 = 357135917137
BaseRepresentation
bin101001001000011…
…0001011000100111
310120011221210002210
41102100301120213
510311303101140
6344540534503
746125616440
oct12220613047
93504853083
101380128295
116490568a7
12326251433
1318cc11880
14d141c2c7
158126bd80
hex52431627

1380128295 has 64 divisors (see below), whose sum is σ = 2764016640. Its totient is φ = 572479488.

The previous prime is 1380128279. The next prime is 1380128311. The reversal of 1380128295 is 5928210831.

It is an interprime number because it is at equal distance from previous prime (1380128279) and next prime (1380128311).

It is not a de Polignac number, because 1380128295 - 24 = 1380128279 is a prime.

It is a super-2 number, since 2×13801282952 = 3809508221319214050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71967 + ... + 89103.

It is an arithmetic number, because the mean of its divisors is an integer number (43187760).

Almost surely, 21380128295 is an apocalyptic number.

1380128295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1380128295 is an abundant number, since it is smaller than the sum of its proper divisors (1383888345).

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

1380128295 is a wasteful number, since it uses less digits than its factorization.

1380128295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17224.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1380128295 is about 37150.0779945345. The cubic root of 1380128295 is about 1113.3707817751.

The spelling of 1380128295 in words is "one billion, three hundred eighty million, one hundred twenty-eight thousand, two hundred ninety-five".

Divisors: 1 3 5 7 13 15 21 35 39 59 65 91 105 177 195 273 295 413 455 767 885 1239 1365 2065 2301 3835 5369 6195 11505 16107 17137 26845 51411 80535 85685 119959 222781 257055 359877 599795 668343 1011083 1113905 1559467 1799385 3033249 3341715 4678401 5055415 7077581 7797335 13144079 15166245 21232743 23392005 35387905 39432237 65720395 92008553 106163715 197161185 276025659 460042765 1380128295