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11389464 = 233367787
BaseRepresentation
bin101011011100…
…101000011000
3210102122102000
4223130220120
510403430324
61044041000
7165544302
oct53345030
923378360
1011389464
11647a089
123993160
13248a138
141726972
15eee9c9
hexadca18

11389464 has 64 divisors (see below), whose sum is σ = 32150400. Its totient is φ = 3735072.

The previous prime is 11389421. The next prime is 11389471. The reversal of 11389464 is 46498311.

11389464 is a `hidden beast` number, since 113 + 89 + 464 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14079 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (502350).

Almost surely, 211389464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11389464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075200).

11389464 is an abundant number, since it is smaller than the sum of its proper divisors (20760936).

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

11389464 is a wasteful number, since it uses less digits than its factorization.

11389464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11389464 is about 3374.8279956170. The cubic root of 11389464 is about 224.9923552958.

The spelling of 11389464 in words is "eleven million, three hundred eighty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 787 804 1206 1574 1608 1809 2361 2412 3148 3618 4722 4824 6296 7083 7236 9444 14166 14472 18888 21249 28332 42498 52729 56664 84996 105458 158187 169992 210916 316374 421832 474561 632748 949122 1265496 1423683 1898244 2847366 3796488 5694732 11389464