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1382445360 = 243352327827
BaseRepresentation
bin101001001100110…
…0111000100110000
310120100022111112000
41102121213010300
510312401222420
6345102334000
746154406642
oct12231470460
93510274460
101382445360
1164a39972a
12326b8a300
1319054340a
14d1862892
1581578690
hex52667130

1382445360 has 160 divisors (see below), whose sum is σ = 4968967680. Its totient is φ = 352611072.

The previous prime is 1382445353. The next prime is 1382445373. The reversal of 1382445360 is 635442831.

1382445360 is a `hidden beast` number, since 1 + 3 + 82 + 44 + 536 + 0 = 666.

It is a super-2 number, since 2×13824453602 = 3822310346771059200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 35767 + ... + 63593.

It is an arithmetic number, because the mean of its divisors is an integer number (31056048).

Almost surely, 21382445360 is an apocalyptic number.

1382445360 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 1382445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484483840).

1382445360 is an abundant number, since it is smaller than the sum of its proper divisors (3586522320).

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

1382445360 is a wasteful number, since it uses less digits than its factorization.

1382445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27872 (or 27860 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1382445360 is about 37181.2501134644. The cubic root of 1382445360 is about 1113.9935041045.

The spelling of 1382445360 in words is "one billion, three hundred eighty-two million, four hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 27827 49680 55654 83481 111308 139135 166962 222616 250443 278270 333924 417405 445232 500886 556540 640021 667848 751329 834810 1001772 1113080 1252215 1280042 1335696 1502658 1669620 1920063 2003544 2226160 2504430 2560084 3005316 3200105 3339240 3756645 3840126 4007088 5008860 5120168 5760189 6010632 6400210 6678480 7513290 7680252 9600315 10017720 10240336 11520378 12021264 12800420 15026580 15360504 17280567 19200630 20035440 23040756 25600840 28800945 30053160 30721008 34561134 38401260 46081512 51201680 57601890 60106320 69122268 76802520 86402835 92163024 115203780 138244536 153605040 172805670 230407560 276489072 345611340 460815120 691222680 1382445360