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11389752 = 23321173197
BaseRepresentation
bin101011011100…
…101100111000
3210102122210200
4223130230320
510403433002
61044042200
7165545163
oct53345470
923378720
1011389752
11647a320
123993360
13248a2ca
141726ada
15eeeb1c
hexadcb38

11389752 has 96 divisors (see below), whose sum is σ = 34285680. Its totient is φ = 3386880.

The previous prime is 11389723. The next prime is 11389771. The reversal of 11389752 is 25798311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57718 + ... + 57914.

Almost surely, 211389752 is an apocalyptic number.

11389752 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 11389752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142840).

11389752 is an abundant number, since it is smaller than the sum of its proper divisors (22895928).

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

11389752 is a wasteful number, since it uses less digits than its factorization.

11389752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11389752 is about 3374.8706641885. The cubic root of 11389752 is about 224.9942517050.

The spelling of 11389752 in words is "eleven million, three hundred eighty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 73 88 99 132 146 197 198 219 264 292 394 396 438 584 591 657 788 792 803 876 1182 1314 1576 1606 1752 1773 2167 2364 2409 2628 3212 3546 4334 4728 4818 5256 6424 6501 7092 7227 8668 9636 13002 14184 14381 14454 17336 19272 19503 26004 28762 28908 39006 43143 52008 57524 57816 78012 86286 115048 129429 156024 158191 172572 258858 316382 345144 474573 517716 632764 949146 1035432 1265528 1423719 1898292 2847438 3796584 5694876 11389752