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1168012872 = 233413612273
BaseRepresentation
bin100010110011110…
…0111011001001000
310000101211012110000
41011213213121020
54343002402442
6311522323000
740641642225
oct10547473110
93011735400
101168012872
1154a3493a4
122871b9460
13157ca4ba0
14b11a494c
156c81cd4c
hex459e7648

1168012872 has 160 divisors (see below), whose sum is σ = 3582505080. Its totient is φ = 353341440.

The previous prime is 1168012871. The next prime is 1168012873. The reversal of 1168012872 is 2782108611.

It is an interprime number because it is at equal distance from previous prime (1168012871) and next prime (1168012873).

It can be written as a sum of positive squares in 4 ways, for example, as 722211876 + 445800996 = 26874^2 + 21114^2 .

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 (1168012871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512728 + ... + 515000.

Almost surely, 21168012872 is an apocalyptic number.

1168012872 is a gapful number since it is divisible by the number (12) 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 1168012872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791252540).

1168012872 is an abundant number, since it is smaller than the sum of its proper divisors (2414492208).

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

1168012872 is a wasteful number, since it uses less digits than its factorization.

1168012872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1168012872 is about 34176.2032999571. The cubic root of 1168012872 is about 1053.1313543007.

The spelling of 1168012872 in words is "one billion, one hundred sixty-eight million, twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 81 104 108 117 122 156 162 183 216 234 244 312 324 351 366 468 488 549 648 702 732 793 936 1053 1098 1404 1464 1586 1647 2106 2196 2273 2379 2808 3172 3294 4212 4392 4546 4758 4941 6344 6588 6819 7137 8424 9092 9516 9882 13176 13638 14274 18184 19032 19764 20457 21411 27276 28548 29549 39528 40914 42822 54552 57096 59098 61371 64233 81828 85644 88647 118196 122742 128466 138653 163656 171288 177294 184113 236392 245484 256932 265941 277306 354588 368226 415959 490968 513864 531882 554612 709176 736452 797823 831918 1063764 1109224 1247877 1472904 1595646 1663836 1802489 2127528 2393469 2495754 3191292 3327672 3604978 3743631 4786938 4991508 5407467 6382584 7209956 7487262 9573876 9983016 10814934 11230893 14419912 14974524 16222401 19147752 21629868 22461786 29949048 32444802 43259736 44923572 48667203 64889604 89847144 97334406 129779208 146001609 194668812 292003218 389337624 584006436 1168012872