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1041602016 = 253721317033
BaseRepresentation
bin111110000101011…
…001010111100000
32200120221212100110
4332011121113200
54113122231031
6251205051320
734545320400
oct7605312740
92616855313
101041602016
11494a59014
122509b6b40
13137a44c70
149c49a800
156169cc46
hex3e1595e0

1041602016 has 144 divisors (see below), whose sum is σ = 3425469264. Its totient is φ = 274692096.

The previous prime is 1041602011. The next prime is 1041602039. The reversal of 1041602016 is 6102061401.

1041602016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1041601983 and 1041602001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041602011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52636 + ... + 69668.

It is an arithmetic number, because the mean of its divisors is an integer number (23787981).

Almost surely, 21041602016 is an apocalyptic number.

1041602016 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 1041602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712734632).

1041602016 is an abundant number, since it is smaller than the sum of its proper divisors (2383867248).

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

1041602016 is a wasteful number, since it uses less digits than its factorization.

1041602016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17073 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1041602016 is about 32273.8596390329. The cubic root of 1041602016 is about 1013.6793605129.

Adding to 1041602016 its reverse (6102061401), we get a palindrome (7143663417).

The spelling of 1041602016 in words is "one billion, forty-one million, six hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 15288 17033 20384 30576 34066 51099 61152 68132 102198 119231 136264 204396 221429 238462 272528 357693 408792 442858 476924 545056 664287 715386 817584 834617 885716 953848 1328574 1430772 1550003 1635168 1669234 1771432 1907696 2503851 2657148 2861544 3100006 3338468 3542864 3815392 4650009 5007702 5314296 5723088 6200012 6676936 7085728 9300018 10015404 10628592 10850021 11446176 12400024 13353872 18600036 20030808 21257184 21700042 24800048 26707744 32550063 37200072 40061616 43400084 49600096 65100126 74400144 80123232 86800168 130200252 148800288 173600336 260400504 347200672 520801008 1041602016