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11469312 = 293219131
BaseRepresentation
bin101011110000…
…001000000000
3210120200221100
4223300020000
510414004222
61045454400
7166326141
oct53601000
923520840
1011469312
116524078
123a11400
1324b759a
141747ac8
1510184ac
hexaf0200

11469312 has 120 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 3594240.

The previous prime is 11469233. The next prime is 11469313. The reversal of 11469312 is 21396411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11469313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87487 + ... + 87617.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 211469312 is an apocalyptic number.

11469312 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 11469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

11469312 is an abundant number, since it is smaller than the sum of its proper divisors (23640048).

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

11469312 is a wasteful number, since it uses less digits than its factorization.

11469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11469312 is about 3386.6372702136. The cubic root of 11469312 is about 225.5169152327.

It can be divided in two parts, 11469 and 312, that added together give a triangular number (11781 = T153).

The spelling of 11469312 in words is "eleven million, four hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 131 144 152 171 192 228 256 262 288 304 342 384 393 456 512 524 576 608 684 768 786 912 1048 1152 1179 1216 1368 1536 1572 1824 2096 2304 2358 2432 2489 2736 3144 3648 4192 4608 4716 4864 4978 5472 6288 7296 7467 8384 9432 9728 9956 10944 12576 14592 14934 16768 18864 19912 21888 22401 25152 29184 29868 33536 37728 39824 43776 44802 50304 59736 67072 75456 79648 87552 89604 100608 119472 150912 159296 179208 201216 238944 301824 318592 358416 477888 603648 637184 716832 955776 1274368 1433664 1911552 2867328 3823104 5734656 11469312