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1381304736 = 253275631217
BaseRepresentation
bin101001001010101…
…0000100110100000
310120021011112212200
41102111100212200
510312103222421
6345022053200
746141616340
oct12225204640
93507145780
101381304736
1164978a769
1232671a200
131902341a6
14d1646d20
1581400726
hex525509a0

1381304736 has 144 divisors (see below), whose sum is σ = 4500909504. Its totient is φ = 393633792.

The previous prime is 1381304711. The next prime is 1381304737. The reversal of 1381304736 is 6374031831.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1381304736.

It is not an unprimeable number, because it can be changed into a prime (1381304737) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1134400 + ... + 1135616.

It is an arithmetic number, because the mean of its divisors is an integer number (31256316).

Almost surely, 21381304736 is an apocalyptic number.

1381304736 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 1381304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250454752).

1381304736 is an abundant number, since it is smaller than the sum of its proper divisors (3119604768).

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

1381304736 is a wasteful number, since it uses less digits than its factorization.

1381304736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1381304736 is about 37165.9082493621. The cubic root of 1381304736 is about 1113.6870429634.

The spelling of 1381304736 in words is "one billion, three hundred eighty-one million, three hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 563 672 1008 1126 1217 1689 2016 2252 2434 3378 3651 3941 4504 4868 5067 6756 7302 7882 8519 9008 9736 10134 10953 11823 13512 14604 15764 17038 18016 19472 20268 21906 23646 25557 27024 29208 31528 34076 35469 38944 40536 43812 47292 51114 54048 58416 63056 68152 70938 76671 81072 87624 94584 102228 116832 126112 136304 141876 153342 162144 175248 189168 204456 272608 283752 306684 350496 378336 408912 567504 613368 685171 817824 1135008 1226736 1370342 2055513 2453472 2740684 4111026 4796197 5481368 6166539 8222052 9592394 10962736 12333078 14388591 16444104 19184788 21925472 24666156 28777182 32888208 38369576 43165773 49332312 57554364 65776416 76739152 86331546 98664624 115108728 153478304 172663092 197329248 230217456 345326184 460434912 690652368 1381304736