Search a number
-
+
1380366765 = 345171571277
BaseRepresentation
bin101001001000110…
…1011100110101101
310120012101220020000
41102101223212231
510311333214030
6344550014513
746130631621
oct12221534655
93505356200
101380366765
116491a9a88
12326347439
1318cc9628b
14d1481181
15812b7860
hex5246b9ad

1380366765 has 80 divisors (see below), whose sum is σ = 2638742832. Its totient is φ = 687937536.

The previous prime is 1380366761. The next prime is 1380366769. The reversal of 1380366765 is 5676630831.

It is an interprime number because it is at equal distance from previous prime (1380366761) and next prime (1380366769).

It can be written as a sum of positive squares in 8 ways, for example, as 3437316 + 1376929449 = 1854^2 + 37107^2 .

It is not a de Polignac number, because 1380366765 - 22 = 1380366761 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1380366765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380366761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1080307 + ... + 1081583.

Almost surely, 21380366765 is an apocalyptic number.

1380366765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1380366765 is a deficient number, since it is larger than the sum of its proper divisors (1258376067).

1380366765 is a wasteful number, since it uses less digits than its factorization.

1380366765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1380366765 is about 37153.2874050198. The cubic root of 1380366765 is about 1113.4349038910.

The spelling of 1380366765 in words is "one billion, three hundred eighty million, three hundred sixty-six thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 157 255 405 459 471 765 785 1277 1377 1413 2295 2355 2669 3831 4239 6385 6885 7065 8007 11493 12717 13345 19155 21195 21709 24021 34479 40035 57465 63585 65127 72063 103437 108545 120105 172395 195381 200489 216189 325635 360315 517185 586143 601467 976905 1002445 1080945 1758429 1804401 2930715 3007335 3408313 5413203 8792145 9022005 10224939 16239609 17041565 27066015 30674817 51124695 81198045 92024451 153374085 276073353 460122255 1380366765