Search a number
-
+
1071663516 = 2232721155229
BaseRepresentation
bin111111111000000…
…100100110011100
32202200112010222100
4333320010212130
54143321213031
6254201245100
735361663300
oct7770044634
92680463870
101071663516
114aaa20730
1225aa93790
1314103bc31
14a2483d00
1564139de6
hex3fe0499c

1071663516 has 108 divisors (see below), whose sum is σ = 3437736120. Its totient is φ = 278349120.

The previous prime is 1071663503. The next prime is 1071663553. The reversal of 1071663516 is 6153661701.

1071663516 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 635 + 16 = 666.

It is a super-2 number, since 2×10716635162 = 2296925383050964512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8211 + ... + 47018.

It is an arithmetic number, because the mean of its divisors is an integer number (31830890).

Almost surely, 21071663516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071663516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718868060).

1071663516 is an abundant number, since it is smaller than the sum of its proper divisors (2366072604).

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

1071663516 is a wasteful number, since it uses less digits than its factorization.

1071663516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55264 (or 55252 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1071663516 is about 32736.2721762879. The cubic root of 1071663516 is about 1023.3388969578.

The spelling of 1071663516 in words is "one billion, seventy-one million, six hundred sixty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 55229 110458 165687 220916 331374 386603 497061 607519 662748 773206 994122 1159809 1215038 1546412 1822557 1988244 2319618 2430076 2706221 3479427 3645114 4252633 4639236 5412442 5467671 6958854 7290228 8118663 8505266 10824884 10935342 12757899 13917708 16237326 17010532 21870684 24355989 25515798 29768431 32474652 38273697 48711978 51031596 59536862 76547394 89305293 97423956 119073724 153094788 178610586 267915879 357221172 535831758 1071663516