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11140752 = 243771467
BaseRepresentation
bin101010011111…
…111010010000
3202222000020110
4222133322100
510323001002
61034441320
7163460220
oct52377220
922860213
1011140752
11631a237
123893240
132400b7c
1416a0080
15ea0e6c
hexa9fe90

11140752 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3131520.

The previous prime is 11140747. The next prime is 11140757. The reversal of 11140752 is 25704111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11140747) and next prime (11140757).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11140757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23623 + ... + 24089.

Almost surely, 211140752 is an apocalyptic number.

11140752 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 11140752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

11140752 is an abundant number, since it is smaller than the sum of its proper divisors (22285680).

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

11140752 is a wasteful number, since it uses less digits than its factorization.

11140752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11140752 is about 3337.7765054000. The cubic root of 11140752 is about 223.3425663864.

Adding to 11140752 its reverse (25704111), we get a palindrome (36844863).

The spelling of 11140752 in words is "eleven million, one hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 467 497 568 852 934 994 1136 1401 1491 1704 1868 1988 2802 2982 3269 3408 3736 3976 5604 5964 6538 7472 7952 9807 11208 11928 13076 19614 22416 23856 26152 33157 39228 52304 66314 78456 99471 132628 156912 198942 232099 265256 397884 464198 530512 696297 795768 928396 1392594 1591536 1856792 2785188 3713584 5570376 11140752