[go: up one dir, main page]

Search a number
-
+
10211740 = 22571119349
BaseRepresentation
bin100110111101…
…000110011100
3201012210212121
4212331012130
510103233430
61002512324
7152540560
oct46750634
921183777
1010211740
115845260
1235056a4
132167066
1414db6a0
15d6aa7a
hex9bd19c

10211740 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3006720.

The previous prime is 10211731. The next prime is 10211743. The reversal of 10211740 is 4711201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211743) 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 31 ways as a sum of consecutive naturals, for example, 29086 + ... + 29434.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 210211740 is an apocalyptic number.

10211740 is a gapful number since it is divisible by the number (10) 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 10211740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10211740 is an abundant number, since it is smaller than the sum of its proper divisors (18012260).

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

10211740 is a wasteful number, since it uses less digits than its factorization.

10211740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 10211740 is about 3195.5813242664. The cubic root of 10211740 is about 216.9534611064.

Adding to 10211740 its reverse (4711201), we get a palindrome (14922941).

The spelling of 10211740 in words is "ten million, two hundred eleven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 349 380 385 418 532 665 698 770 836 1045 1330 1396 1463 1540 1745 2090 2443 2660 2926 3490 3839 4180 4886 5852 6631 6980 7315 7678 9772 12215 13262 14630 15356 19195 24430 26524 26873 29260 33155 38390 46417 48860 53746 66310 72941 76780 92834 107492 132620 134365 145882 185668 232085 268730 291764 364705 464170 510587 537460 729410 928340 1021174 1458820 2042348 2552935 5105870 10211740