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1152590985 = 335721321031
BaseRepresentation
bin100010010110011…
…0010010010001001
32222022210200121000
41010230302102021
54330030402420
6310212005213
740363601400
oct10454622211
92868720530
101152590985
11541675737
12282000809
13154a35500
14ad10c637
156b2c3690
hex44b32489

1152590985 has 144 divisors (see below), whose sum is σ = 2583550080. Its totient is φ = 485896320.

The previous prime is 1152590983. The next prime is 1152591047. The reversal of 1152590985 is 5890952511.

1152590985 is a `hidden beast` number, since 1 + 1 + 52 + 590 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 1152590985 - 21 = 1152590983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1152590985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152590981) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1117420 + ... + 1118450.

It is an arithmetic number, because the mean of its divisors is an integer number (17941320).

Almost surely, 21152590985 is an apocalyptic number.

1152590985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1152590985 is an abundant number, since it is smaller than the sum of its proper divisors (1430959095).

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

1152590985 is a wasteful number, since it uses less digits than its factorization.

1152590985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 1152590985 is about 33949.8304119476. The cubic root of 1152590985 is about 1048.4757884794.

The spelling of 1152590985 in words is "one billion, one hundred fifty-two million, five hundred ninety thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 49 63 65 91 105 117 135 147 169 189 195 245 273 315 351 441 455 507 585 637 735 819 845 945 1031 1183 1323 1365 1521 1755 1911 2205 2457 2535 3093 3185 3549 4095 4563 5155 5733 5915 6615 7217 7605 8281 9279 9555 10647 12285 13403 15465 17199 17745 21651 22815 24843 27837 28665 31941 36085 40209 41405 46395 50519 53235 64953 67015 74529 85995 93821 108255 120627 124215 139185 151557 159705 174239 194859 201045 223587 252595 281463 324765 361881 372645 454671 469105 522717 603135 656747 757785 844389 871195 974295 1117935 1219673 1364013 1407315 1568151 1809405 1970241 2273355 2533167 2613585 3283735 3659019 4221945 4704453 5910723 6098365 6820065 7840755 8537711 9851205 10977057 12665835 17732169 18295095 23522265 25613133 29553615 32931171 42688555 54885285 76839399 88660845 128065665 164655855 230518197 384196995 1152590985