Search a number
-
+
10313772 = 2237199617
BaseRepresentation
bin100111010110…
…000000101100
3201101222211120
4213112000230
510120020042
61005020540
7153444210
oct47260054
921358746
1010313772
115904987
123554750
1321a1631
141526940
15d8adec
hex9d602c

10313772 has 48 divisors (see below), whose sum is σ = 27686400. Its totient is φ = 2927232.

The previous prime is 10313767. The next prime is 10313773. The reversal of 10313772 is 27731301.

It is a super-3 number, since 3×103137723 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10313773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16408 + ... + 17024.

It is an arithmetic number, because the mean of its divisors is an integer number (576800).

Almost surely, 210313772 is an apocalyptic number.

10313772 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 10313772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843200).

10313772 is an abundant number, since it is smaller than the sum of its proper divisors (17372628).

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

10313772 is a wasteful number, since it uses less digits than its factorization.

10313772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 10313772 is about 3211.5061886909. The cubic root of 10313772 is about 217.6736412282.

The spelling of 10313772 in words is "ten million, three hundred thirteen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 617 796 1194 1234 1393 1851 2388 2468 2786 3702 4179 4319 5572 7404 8358 8638 12957 16716 17276 25914 51828 122783 245566 368349 491132 736698 859481 1473396 1718962 2578443 3437924 5156886 10313772