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1481340096 = 26337731109
BaseRepresentation
bin101100001001011…
…0111010011000000
310211020101212121000
41120102313103000
511013210340341
6402554132000
751465116535
oct13022672300
93736355530
101481340096
116a01a5815
12354121000
131a7b8ab02
14100a46d8c
158a0b08b6
hex584b74c0

1481340096 has 112 divisors (see below), whose sum is σ = 4364431200. Its totient is φ = 492696576.

The previous prime is 1481340061. The next prime is 1481340109. The reversal of 1481340096 is 6900431841.

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 1481340096.

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 15 ways as a sum of consecutive naturals, for example, 1335190 + ... + 1336298.

Almost surely, 21481340096 is an apocalyptic number.

1481340096 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 1481340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182215600).

1481340096 is an abundant number, since it is smaller than the sum of its proper divisors (2883091104).

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

1481340096 is a wasteful number, since it uses less digits than its factorization.

1481340096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1481340096 is about 38488.1812508723. The cubic root of 1481340096 is about 1139.9476984315.

The spelling of 1481340096 in words is "one billion, four hundred eighty-one million, three hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 773 864 1109 1546 1728 2218 2319 3092 3327 4436 4638 6184 6654 6957 8872 9276 9981 12368 13308 13914 17744 18552 19962 20871 24736 26616 27828 29943 35488 37104 39924 41742 49472 53232 55656 59886 70976 74208 79848 83484 106464 111312 119772 148416 159696 166968 212928 222624 239544 319392 333936 445248 479088 638784 667872 857257 958176 1335744 1714514 1916352 2571771 3429028 5143542 6858056 7715313 10287084 13716112 15430626 20574168 23145939 27432224 30861252 41148336 46291878 54864448 61722504 82296672 92583756 123445008 164593344 185167512 246890016 370335024 493780032 740670048 1481340096