Search a number
-
+
1085608602 = 233132371947
BaseRepresentation
bin100000010110101…
…0001001010011010
32210122202122001000
41000231101022122
54210403433402
6255420205430
735621343441
oct10055211232
92718678030
101085608602
115078858a1
12263699876
13143bb2370
14a4273d58
1565491c1c
hex40b5129a

1085608602 has 128 divisors (see below), whose sum is σ = 2752081920. Its totient is φ = 314677440.

The previous prime is 1085608597. The next prime is 1085608607. The reversal of 1085608602 is 2068065801.

It is a happy number.

1085608602 is a `hidden beast` number, since 10 + 8 + 560 + 86 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1085608597) and next prime (1085608607).

It is not an unprimeable number, because it can be changed into a prime (1085608607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145893 + ... + 1146839.

It is an arithmetic number, because the mean of its divisors is an integer number (21500640).

Almost surely, 21085608602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1085608602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376040960).

1085608602 is an abundant number, since it is smaller than the sum of its proper divisors (1666473318).

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

1085608602 is a wasteful number, since it uses less digits than its factorization.

1085608602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1085608602 is about 32948.5751133490. The cubic root of 1085608602 is about 1027.7585347621.

The spelling of 1085608602 in words is "one billion, eighty-five million, six hundred eight thousand, six hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 71 78 117 138 142 207 213 234 299 351 414 426 598 621 639 702 897 923 947 1242 1278 1633 1794 1846 1894 1917 2691 2769 2841 3266 3834 4899 5382 5538 5682 8073 8307 8523 9798 12311 14697 16146 16614 17046 21229 21781 24622 24921 25569 29394 36933 42458 43562 44091 49842 51138 63687 65343 67237 73866 88182 110799 127374 130686 134474 191061 196029 201711 221598 283153 332397 382122 392058 403422 566306 573183 588087 605133 664794 849459 874081 1146366 1176174 1210266 1546451 1698918 1748162 1815399 2548377 2622243 3092902 3630798 4639353 5096754 5244486 7645131 7866729 9278706 13918059 15290262 15733458 20103863 23600187 27836118 40207726 41754177 47200374 60311589 83508354 120623178 180934767 361869534 542804301 1085608602