Search a number
-
+
10841472 = 27333137
BaseRepresentation
bin101001010110…
…110110000000
3202101210201000
4221112312000
510233411342
61024212000
7161102535
oct51266600
922353630
1010841472
1161353a4
12376a000
132327895
141622d8c
15e4244c
hexa56d80

10841472 has 64 divisors (see below), whose sum is σ = 32007600. Its totient is φ = 3612672.

The previous prime is 10841459. The next prime is 10841483. The reversal of 10841472 is 27414801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1888 + ... + 5024.

Almost surely, 210841472 is an apocalyptic number.

10841472 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 10841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003800).

10841472 is an abundant number, since it is smaller than the sum of its proper divisors (21166128).

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

10841472 is an equidigital number, since it uses as much as digits as its factorization.

10841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 10841472 is about 3292.6390631225. The cubic root of 10841472 is about 221.3244621531.

It can be divided in two parts, 1084 and 1472, that added together give a triangular number (2556 = T71).

The spelling of 10841472 in words is "ten million, eight hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3137 3456 6274 9411 12548 18822 25096 28233 37644 50192 56466 75288 84699 100384 112932 150576 169398 200768 225864 301152 338796 401536 451728 602304 677592 903456 1204608 1355184 1806912 2710368 3613824 5420736 10841472