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10712130 = 23511213227
BaseRepresentation
bin101000110111…
…010001000010
3202011020021120
4220313101002
510220242010
61021333110
7160023462
oct50672102
922136246
1010712130
116057200
123707196
1322b0a50
1415cbba2
15e18e70
hexa37442

10712130 has 96 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 2386560.

The previous prime is 10712113. The next prime is 10712137. The reversal of 10712130 is 3121701.

It is a super-2 number, since 2×107121302 = 229499458273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10712137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47077 + ... + 47303.

It is an arithmetic number, because the mean of its divisors is an integer number (318402).

Almost surely, 210712130 is an apocalyptic number.

10712130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

10712130 is an abundant number, since it is smaller than the sum of its proper divisors (19854462).

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

10712130 is a wasteful number, since it uses less digits than its factorization.

10712130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10712130 is about 3272.9390461785. The cubic root of 10712130 is about 220.4407829423.

Adding to 10712130 its reverse (3121701), we get a palindrome (13833831).

The spelling of 10712130 in words is "ten million, seven hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 227 242 286 330 363 390 429 454 605 681 715 726 858 1135 1210 1362 1430 1573 1815 2145 2270 2497 2951 3146 3405 3630 4290 4719 4994 5902 6810 7491 7865 8853 9438 12485 14755 14982 15730 17706 23595 24970 27467 29510 32461 37455 44265 47190 54934 64922 74910 82401 88530 97383 137335 162305 164802 194766 274670 324610 357071 412005 486915 714142 824010 973830 1071213 1785355 2142426 3570710 5356065 10712130