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10949472 = 2533192329
BaseRepresentation
bin101001110001…
…001101100000
3202121021212000
4221301031200
510300340342
61030404000
7162032442
oct51611540
922537760
1010949472
1161a9556
123800600
132364aa1
141650492
15e6444c
hexa71360

10949472 has 192 divisors, whose sum is σ = 36288000. Its totient is φ = 3193344.

The previous prime is 10949459. The next prime is 10949473. The reversal of 10949472 is 27494901.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10949473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377554 + ... + 377582.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 210949472 is an apocalyptic number.

10949472 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 10949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

10949472 is an abundant number, since it is smaller than the sum of its proper divisors (25338528).

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

10949472 is a wasteful number, since it uses less digits than its factorization.

10949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 10949472 is about 3308.9986400723. The cubic root of 10949472 is about 222.0569612783.

The spelling of 10949472 in words is "ten million, nine hundred forty-nine thousand, four hundred seventy-two".