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11313432 = 2334131779
BaseRepresentation
bin101011001010…
…000100011000
3210021210010000
4223022010120
510344012212
61042253000
7165106524
oct53120430
923253100
1011313432
116427a49
123957160
132461650
141706d84
15ed71dc
hexaca118

11313432 has 160 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3234816.

The previous prime is 11313409. The next prime is 11313457. The reversal of 11313432 is 23431311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143169 + ... + 143247.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 211313432 is an apocalyptic number.

11313432 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 11313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

11313432 is an abundant number, since it is smaller than the sum of its proper divisors (25276968).

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

11313432 is a wasteful number, since it uses less digits than its factorization.

11313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11313432 is about 3363.5445589437. The cubic root of 11313432 is about 224.4905808354.

Adding to 11313432 its reverse (23431311), we get a palindrome (34744743).

The spelling of 11313432 in words is "eleven million, three hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 79 81 102 104 108 117 136 153 156 158 162 204 216 221 234 237 306 312 316 324 351 408 442 459 468 474 612 632 648 663 702 711 884 918 936 948 1027 1053 1224 1326 1343 1377 1404 1422 1768 1836 1896 1989 2054 2106 2133 2652 2686 2754 2808 2844 3081 3672 3978 4029 4108 4212 4266 5304 5372 5508 5688 5967 6162 6399 7956 8058 8216 8424 8532 9243 10744 11016 11934 12087 12324 12798 15912 16116 17064 17459 17901 18486 23868 24174 24648 25596 27729 32232 34918 35802 36261 36972 47736 48348 51192 52377 55458 69836 71604 72522 73944 83187 96696 104754 108783 110916 139672 143208 145044 157131 166374 209508 217566 221832 290088 314262 332748 419016 435132 471393 628524 665496 870264 942786 1257048 1414179 1885572 2828358 3771144 5656716 11313432