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1381368576 = 2837263977
BaseRepresentation
bin101001001010110…
…0000001100000000
310120021021210110010
41102111200030000
510312112243301
6345023304520
746142303430
oct12225401400
93507253403
101381368576
11649823725
1232674b140
13190257273
14d16622c0
15814145d6
hex52560300

1381368576 has 144 divisors (see below), whose sum is σ = 4221955584. Its totient is φ = 392773632.

The previous prime is 1381368557. The next prime is 1381368577. The reversal of 1381368576 is 6758631831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1381368577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413400 + ... + 1414376.

It is an arithmetic number, because the mean of its divisors is an integer number (29319136).

Almost surely, 21381368576 is an apocalyptic number.

1381368576 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 1381368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110977792).

1381368576 is an abundant number, since it is smaller than the sum of its proper divisors (2840587008).

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

1381368576 is an equidigital number, since it uses as much as digits as its factorization.

1381368576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1252 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1381368576 is about 37166.7670910452. The cubic root of 1381368576 is about 1113.7041998547.

The spelling of 1381368576 in words is "one billion, three hundred eighty-one million, three hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 263 336 384 448 526 672 768 789 896 977 1052 1344 1578 1792 1841 1954 2104 2688 2931 3156 3682 3908 4208 5376 5523 5862 6312 6839 7364 7816 8416 11046 11724 12624 13678 14728 15632 16832 20517 22092 23448 25248 27356 29456 31264 33664 41034 44184 46896 50496 54712 58912 62528 67328 82068 88368 93792 100992 109424 117824 125056 164136 176736 187584 201984 218848 235648 250112 256951 328272 353472 375168 437696 471296 513902 656544 706944 750336 770853 875392 1027804 1313088 1413888 1541706 1750784 1798657 2055608 2626176 3083412 3597314 4111216 5252352 5395971 6166824 7194628 8222432 10791942 12333648 14389256 16444864 21583884 24667296 28778512 32889728 43167768 49334592 57557024 65779456 86335536 98669184 115114048 172671072 197338368 230228096 345342144 460456192 690684288 1381368576