Search a number
-
+
1380381120 = 26325479299
BaseRepresentation
bin101001001000110…
…1111000111000000
310120012102121220200
41102101233013000
510311334143440
6344550205200
746131021516
oct12221570700
93505377820
101380381120
11649209848
12326353800
1318cc9c981
14d14864b6
15812bbc30
hex5246f1c0

1380381120 has 84 divisors (see below), whose sum is σ = 4747945800. Its totient is φ = 368100864.

The previous prime is 1380381109. The next prime is 1380381137. The reversal of 1380381120 is 211830831.

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 11 ways as a sum of consecutive naturals, for example, 236770 + ... + 242529.

Almost surely, 21380381120 is an apocalyptic number.

1380381120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1380381120 is an abundant number, since it is smaller than the sum of its proper divisors (3367564680).

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

1380381120 is a wasteful number, since it uses less digits than its factorization.

1380381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479322 (or 479309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1380381120 is about 37153.4805906526. The cubic root of 1380381120 is about 1113.4387635664.

The spelling of 1380381120 in words is "one billion, three hundred eighty million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 479299 958598 1437897 1917196 2396495 2875794 3834392 4313691 4792990 5751588 7189485 7668784 8627382 9585980 11503176 14378970 15337568 17254764 19171960 21568455 23006352 28757940 30675136 34509528 38343920 43136910 46012704 57515880 69019056 76687840 86273820 92025408 115031760 138038112 153375680 172547640 230063520 276076224 345095280 460127040 690190560 1380381120