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11406432 = 253131907
BaseRepresentation
bin101011100000…
…110001100000
3210110111200110
4223200301200
510410001212
61044251320
7165644622
oct53406140
923414613
1011406432
116490904
1239a0b40
132494a8b
14172cc12
151004a3c
hexae0c60

11406432 has 48 divisors (see below), whose sum is σ = 30203712. Its totient is φ = 3768960.

The previous prime is 11406401. The next prime is 11406433. The reversal of 11406432 is 23460411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11406399 and 11406408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12123 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (629244).

Almost surely, 211406432 is an apocalyptic number.

11406432 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 11406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101856).

11406432 is an abundant number, since it is smaller than the sum of its proper divisors (18797280).

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

11406432 is a wasteful number, since it uses less digits than its factorization.

11406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 11406432 is about 3377.3409659079. The cubic root of 11406432 is about 225.1040309052.

Adding to 11406432 its reverse (23460411), we get a palindrome (34866843).

The spelling of 11406432 in words is "eleven million, four hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 907 1048 1572 1814 2096 2721 3144 3628 4192 5442 6288 7256 10884 12576 14512 21768 29024 43536 87072 118817 237634 356451 475268 712902 950536 1425804 1901072 2851608 3802144 5703216 11406432