Search a number
-
+
10373472 = 2532181199
BaseRepresentation
bin100111100100…
…100101100000
3201112000201200
4213210211200
510123422342
61010201200
7154113234
oct47444540
921460650
1010373472
11594581a
123583200
1321c2865
1415405c4
15d9d94c
hex9e4960

10373472 has 72 divisors (see below), whose sum is σ = 29811600. Its totient is φ = 3421440.

The previous prime is 10373459. The next prime is 10373479. The reversal of 10373472 is 27437301.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10373479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52029 + ... + 52227.

It is an arithmetic number, because the mean of its divisors is an integer number (414050).

Almost surely, 210373472 is an apocalyptic number.

10373472 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 10373472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905800).

10373472 is an abundant number, since it is smaller than the sum of its proper divisors (19438128).

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

10373472 is a wasteful number, since it uses less digits than its factorization.

10373472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 10373472 is about 3220.7874813468. The cubic root of 10373472 is about 218.0928258278.

The spelling of 10373472 in words is "ten million, three hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 199 288 362 398 543 597 724 796 1086 1194 1448 1592 1629 1791 2172 2388 2896 3184 3258 3582 4344 4776 5792 6368 6516 7164 8688 9552 13032 14328 17376 19104 26064 28656 36019 52128 57312 72038 108057 144076 216114 288152 324171 432228 576304 648342 864456 1152608 1296684 1728912 2593368 3457824 5186736 10373472