Search a number
-
+
10197072 = 2432193727
BaseRepresentation
bin100110111001…
…100001010000
3201012001202100
4212321201100
510102301242
61002320400
7152450034
oct46714120
921161670
1010197072
115835236
1234b9100
132160492
1414d61c4
15d6654c
hex9b9850

10197072 has 60 divisors (see below), whose sum is σ = 30047680. Its totient is φ = 3219264.

The previous prime is 10197071. The next prime is 10197079. The reversal of 10197072 is 27079101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197071) 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, 873 + ... + 4599.

Almost surely, 210197072 is an apocalyptic number.

10197072 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 10197072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023840).

10197072 is an abundant number, since it is smaller than the sum of its proper divisors (19850608).

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

10197072 is a wasteful number, since it uses less digits than its factorization.

10197072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3760 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10197072 is about 3193.2854554518. The cubic root of 10197072 is about 216.8495350291.

The spelling of 10197072 in words is "ten million, one hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3727 7454 11181 14908 22362 29816 33543 44724 59632 67086 70813 89448 134172 141626 178896 212439 268344 283252 424878 536688 566504 637317 849756 1133008 1274634 1699512 2549268 3399024 5098536 10197072