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11349072 = 24367139
BaseRepresentation
bin101011010010…
…110001010000
3210100121000000
4223102301100
510401132242
61043130000
7165315450
oct53226120
923317000
1011349072
1164517a9
123973900
132474937
141715d60
15ee2a4c
hexad2c50

11349072 has 140 divisors (see below), whose sum is σ = 37948960. Its totient is φ = 3219264.

The previous prime is 11349071. The next prime is 11349073. The reversal of 11349072 is 27094311.

It is an interprime number because it is at equal distance from previous prime (11349071) and next prime (11349073).

It is a super-2 number, since 2×113490722 = 257602870522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349071) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81579 + ... + 81717.

It is an arithmetic number, because the mean of its divisors is an integer number (271064).

Almost surely, 211349072 is an apocalyptic number.

11349072 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 11349072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974480).

11349072 is an abundant number, since it is smaller than the sum of its proper divisors (26599888).

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

11349072 is an equidigital number, since it uses as much as digits as its factorization.

11349072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 11349072 is about 3368.8383754642. The cubic root of 11349072 is about 224.7260666265.

The spelling of 11349072 in words is "eleven million, three hundred forty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 139 144 162 168 189 216 243 252 278 324 336 378 417 432 486 504 556 567 648 729 756 834 972 973 1008 1112 1134 1251 1296 1458 1512 1668 1701 1944 1946 2224 2268 2502 2916 2919 3024 3336 3402 3753 3888 3892 4536 5004 5103 5832 5838 6672 6804 7506 7784 8757 9072 10008 10206 11259 11664 11676 13608 15012 15568 17514 20016 20412 22518 23352 26271 27216 30024 33777 35028 40824 45036 46704 52542 60048 67554 70056 78813 81648 90072 101331 105084 135108 140112 157626 180144 202662 210168 236439 270216 315252 405324 420336 472878 540432 630504 709317 810648 945756 1261008 1418634 1621296 1891512 2837268 3783024 5674536 11349072