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1379540295 = 33572971709
BaseRepresentation
bin101001000111010…
…0001110101000111
310120010211220112000
41102032201311013
510311130242140
6344520200343
746120620240
oct12216416507
93503756460
101379540295
11648795051
123260090b3
1318ca67043
14d1307cc7
15811a2a30
hex523a1d47

1379540295 has 128 divisors (see below), whose sum is σ = 2944512000. Its totient is φ = 599477760.

The previous prime is 1379540263. The next prime is 1379540311. The reversal of 1379540295 is 5920459731.

It is a happy number.

1379540295 is a `hidden beast` number, since 13 + 7 + 9 + 540 + 2 + 95 = 666.

It is not a de Polignac number, because 1379540295 - 25 = 1379540263 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1379540295.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1945401 + ... + 1946109.

It is an arithmetic number, because the mean of its divisors is an integer number (23004000).

Almost surely, 21379540295 is an apocalyptic number.

1379540295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1379540295 is an abundant number, since it is smaller than the sum of its proper divisors (1564971705).

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

1379540295 is a wasteful number, since it uses less digits than its factorization.

1379540295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1379540295 is about 37142.1633053327. The cubic root of 1379540295 is about 1113.2126430918.

The spelling of 1379540295 in words is "one billion, three hundred seventy-nine million, five hundred forty thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 71 87 105 135 145 189 203 213 261 315 355 435 497 609 639 709 783 945 1015 1065 1305 1491 1827 1917 2059 2127 2485 3045 3195 3545 3915 4473 4963 5481 6177 6381 7455 9135 9585 10295 10635 13419 14413 14889 18531 19143 20561 22365 24815 27405 30885 31905 43239 44667 50339 55593 61683 67095 72065 74445 92655 95715 102805 129717 134001 143927 151017 185049 216195 223335 251695 277965 308415 352373 389151 431781 453051 555147 648585 670005 719635 755085 925245 1057119 1295343 1359153 1459831 1761865 1945755 2158905 2265255 2775735 3171357 3886029 4379493 5285595 6476715 6795765 7299155 9514071 10218817 13138479 15856785 19430145 21897465 30656451 39415437 47570355 51094085 65692395 91969353 153282255 197077185 275908059 459846765 1379540295