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11906328 = 2337131541
BaseRepresentation
bin101101011010…
…110100011000
3211101220102010
4231122310120
511022000303
61103105520
7203126220
oct55326430
924356363
1011906328
1167a2445
123ba22a0
13260b485
14181d080
1510a2c03
hexb5ad18

11906328 has 64 divisors (see below), whose sum is σ = 34341120. Its totient is φ = 3369600.

The previous prime is 11906317. The next prime is 11906329. The reversal of 11906328 is 82360911.

11906328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11906295 and 11906304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11906329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21738 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (536580).

Almost surely, 211906328 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 11906328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170560).

11906328 is an abundant number, since it is smaller than the sum of its proper divisors (22434792).

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

11906328 is a wasteful number, since it uses less digits than its factorization.

11906328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11906328 is about 3450.5547380095. The cubic root of 11906328 is about 228.3455824261.

The spelling of 11906328 in words is "eleven million, nine hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 541 786 917 1048 1082 1572 1623 1834 2164 2751 3144 3246 3668 3787 4328 5502 6492 7336 7574 11004 11361 12984 15148 22008 22722 30296 45444 70871 90888 141742 212613 283484 425226 496097 566968 850452 992194 1488291 1700904 1984388 2976582 3968776 5953164 11906328