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1380470160 = 243513941381
BaseRepresentation
bin101001001001000…
…0100110110010000
310120012121011001110
41102102010312100
510311400021120
6344552133320
746131542226
oct12222046620
93505534043
101380470160
1164926a733
12326397240
13190001364
14d14aab16
15812d82e0
hex52484d90

1380470160 has 80 divisors (see below), whose sum is σ = 4310349120. Its totient is φ = 365468160.

The previous prime is 1380470153. The next prime is 1380470177. The reversal of 1380470160 is 610740831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12670 + ... + 54050.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364).

Almost surely, 21380470160 is an apocalyptic number.

1380470160 is a gapful number since it is divisible by the number (10) 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 1380470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155174560).

1380470160 is an abundant number, since it is smaller than the sum of its proper divisors (2929878960).

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

1380470160 is a wasteful number, since it uses less digits than its factorization.

1380470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41536 (or 41530 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1380470160 is about 37154.6788439895. The cubic root of 1380470160 is about 1113.4627034417.

The spelling of 1380470160 in words is "one billion, three hundred eighty million, four hundred seventy thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 41381 82762 124143 165524 206905 248286 331048 413810 496572 620715 662096 827620 993144 1241430 1655240 1986288 2482860 3310480 4965720 5751959 9931440 11503918 17255877 23007836 28759795 34511754 46015672 57519590 69023508 86279385 92031344 115039180 138047016 172558770 230078360 276094032 345117540 460156720 690235080 1380470160