Search a number
-
+
10997472 = 253971181
BaseRepresentation
bin101001111100…
…111011100000
3202200201200210
4221330323200
510303404342
61031414120
7162322413
oct51747340
922621623
1010997472
116231622
123824340
1323808a5
141663b7a
15e7379c
hexa7cee0

10997472 has 48 divisors (see below), whose sum is σ = 29190672. Its totient is φ = 3624960.

The previous prime is 10997449. The next prime is 10997477. The reversal of 10997472 is 27479901.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10997472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10997477) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8722 + ... + 9902.

It is an arithmetic number, because the mean of its divisors is an integer number (608139).

Almost surely, 210997472 is an apocalyptic number.

10997472 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 10997472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595336).

10997472 is an abundant number, since it is smaller than the sum of its proper divisors (18193200).

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

10997472 is a wasteful number, since it uses less digits than its factorization.

10997472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 10997472 is about 3316.2436581168. The cubic root of 10997472 is about 222.3809707163.

The spelling of 10997472 in words is "ten million, nine hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1181 1552 2328 2362 3104 3543 4656 4724 7086 9312 9448 14172 18896 28344 37792 56688 113376 114557 229114 343671 458228 687342 916456 1374684 1832912 2749368 3665824 5498736 10997472