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1380771216 = 2432115031733
BaseRepresentation
bin101001001001100…
…1110010110010000
310120020011110000200
41102103032112100
510311434134331
6345002415200
746134235026
oct12223162620
93506143020
101380771216
11649455940
12326501500
131900a83b6
14d1548716
15813475e6
hex524ce590

1380771216 has 120 divisors (see below), whose sum is σ = 4226354496. Its totient is φ = 417342720.

The previous prime is 1380771199. The next prime is 1380771221. The reversal of 1380771216 is 6121770831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 795886 + ... + 797618.

Almost surely, 21380771216 is an apocalyptic number.

1380771216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113177248).

1380771216 is an abundant number, since it is smaller than the sum of its proper divisors (2845583280).

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

1380771216 is a wasteful number, since it uses less digits than its factorization.

1380771216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1380771216 is about 37158.7300105911. The cubic root of 1380771216 is about 1113.5436396986.

The spelling of 1380771216 in words is "one billion, three hundred eighty million, seven hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 503 528 792 1006 1509 1584 1733 2012 3018 3466 4024 4527 5199 5533 6036 6932 8048 9054 10398 11066 12072 13864 15597 16599 18108 19063 20796 22132 24144 27728 31194 33198 36216 38126 41592 44264 49797 57189 62388 66396 72432 76252 83184 88528 99594 114378 124776 132792 152504 171567 199188 228756 249552 265584 305008 343134 398376 457512 686268 796752 871699 915024 1372536 1743398 2615097 2745072 3486796 5230194 6973592 7845291 9588689 10460388 13947184 15690582 19177378 20920776 28766067 31381164 38354756 41841552 57532134 62762328 76709512 86298201 115064268 125524656 153419024 172596402 230128536 345192804 460257072 690385608 1380771216