Search a number
-
+
10660734 = 234721779
BaseRepresentation
bin101000101010…
…101101111110
3202001121210000
4220222231332
510212120414
61020255130
7156420600
oct50525576
922047700
1010660734
116021627
1236a14a6
132293536
1415b7170
15e08b09
hexa2ab7e

10660734 has 120 divisors (see below), whose sum is σ = 29795040. Its totient is φ = 2830464.

The previous prime is 10660733. The next prime is 10660747. The reversal of 10660734 is 43706601.

It is a super-2 number, since 2×106607342 = 227302498837512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10660698 and 10660707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10660733) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134907 + ... + 134985.

It is an arithmetic number, because the mean of its divisors is an integer number (248292).

Almost surely, 210660734 is an apocalyptic number.

10660734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10660734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14897520).

10660734 is an abundant number, since it is smaller than the sum of its proper divisors (19134306).

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

10660734 is a wasteful number, since it uses less digits than its factorization.

10660734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 10660734 is about 3265.0779470022. The cubic root of 10660734 is about 220.0876647875.

The spelling of 10660734 in words is "ten million, six hundred sixty thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 79 81 98 102 119 126 147 153 158 162 189 237 238 294 306 357 378 441 459 474 553 567 711 714 833 882 918 1071 1106 1134 1323 1343 1377 1422 1659 1666 2133 2142 2499 2646 2686 2754 3213 3318 3871 3969 4029 4266 4977 4998 6399 6426 7497 7742 7938 8058 9401 9639 9954 11613 12087 12798 14931 14994 18802 19278 22491 23226 24174 28203 29862 34839 36261 44793 44982 56406 65807 67473 69678 72522 84609 89586 104517 108783 131614 134946 169218 197421 209034 217566 253827 313551 394842 507654 592263 627102 761481 1184526 1522962 1776789 3553578 5330367 10660734