Search a number
-
+
1085018724 = 2232313173067
BaseRepresentation
bin100000010101100…
…0001001001100100
32210121122122212200
41000223001021210
54210231044344
6255355414500
735613335616
oct10053011144
92717578780
101085018724
11507512699
12263454430
13143a36a1a
14a415cdb6
15653c7069
hex40ac1264

1085018724 has 72 divisors (see below), whose sum is σ = 2841017088. Its totient is φ = 348788160.

The previous prime is 1085018723. The next prime is 1085018729. The reversal of 1085018724 is 4278105801.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1085018723) 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, 352239 + ... + 355305.

Almost surely, 21085018724 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 1085018724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420508544).

1085018724 is an abundant number, since it is smaller than the sum of its proper divisors (1755998364).

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

1085018724 is a wasteful number, since it uses less digits than its factorization.

1085018724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3425 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1085018724 is about 32939.6224022073. The cubic root of 1085018724 is about 1027.5723528712.

The spelling of 1085018724 in words is "one billion, eighty-five million, eighteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 317 372 558 634 951 1116 1268 1902 2853 3067 3804 5706 6134 9201 9827 11412 12268 18402 19654 27603 29481 36804 39308 55206 58962 88443 95077 110412 117924 176886 190154 285231 353772 380308 570462 855693 972239 1140924 1711386 1944478 2916717 3422772 3888956 5833434 8750151 11666868 17500302 30139409 35000604 60278818 90418227 120557636 180836454 271254681 361672908 542509362 1085018724