Search a number
-
+
10601712 = 2433112397
BaseRepresentation
bin101000011100…
…010011110000
3201221121211000
4220130103300
510203223322
61015122000
7156053532
oct50342360
921847730
1010601712
115a91250
123673300
132272704
14159d852
15de63ac
hexa1c4f0

10601712 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3041280.

The previous prime is 10601711. The next prime is 10601719. The reversal of 10601712 is 21710601.

It is a super-2 number, since 2×106017122 = 224792594661888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10601711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109248 + ... + 109344.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 210601712 is an apocalyptic number.

10601712 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 10601712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

10601712 is an abundant number, since it is smaller than the sum of its proper divisors (24396048).

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

10601712 is a wasteful number, since it uses less digits than its factorization.

10601712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10601712 is about 3256.0270269149. The cubic root of 10601712 is about 219.6807490673.

Subtracting 10601712 from its reverse (21710601), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1060 and 1712, that added together give a palindrome (2772).

The spelling of 10601712 in words is "ten million, six hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 97 99 108 132 138 144 176 184 194 198 207 216 253 264 276 291 297 368 388 396 414 432 506 528 552 582 594 621 759 776 792 828 873 1012 1067 1104 1164 1188 1242 1518 1552 1584 1656 1746 2024 2134 2231 2277 2328 2376 2484 2619 3036 3201 3312 3492 4048 4268 4462 4554 4656 4752 4968 5238 6072 6402 6693 6831 6984 8536 8924 9108 9603 9936 10476 12144 12804 13386 13662 13968 17072 17848 18216 19206 20079 20952 24541 25608 26772 27324 28809 35696 36432 38412 40158 41904 49082 51216 53544 54648 57618 60237 73623 76824 80316 98164 107088 109296 115236 120474 147246 153648 160632 196328 220869 230472 240948 294492 321264 392656 441738 460944 481896 588984 662607 883476 963792 1177968 1325214 1766952 2650428 3533904 5300856 10601712