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10709010 = 236513113
BaseRepresentation
bin101000110110…
…100000010010
3202011002000000
4220312200102
510220142020
61021310430
7160011414
oct50664022
922132000
1010709010
116054924
123705416
1322ac4c0
1415ca9b4
15e18090
hexa36812

10709010 has 112 divisors (see below), whose sum is σ = 31399704. Its totient is φ = 2612736.

The previous prime is 10709009. The next prime is 10709011. The reversal of 10709010 is 1090701.

It is an interprime number because it is at equal distance from previous prime (10709009) and next prime (10709011).

It can be written as a sum of positive squares in 4 ways, for example, as 3272481 + 7436529 = 1809^2 + 2727^2 .

It is a super-2 number, since 2×107090102 = 229365790360200, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10709011) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 94714 + ... + 94826.

Almost surely, 210709010 is an apocalyptic number.

10709010 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 10709010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699852).

10709010 is an abundant number, since it is smaller than the sum of its proper divisors (20690694).

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

10709010 is a wasteful number, since it uses less digits than its factorization.

10709010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10709010 is about 3272.4623756431. The cubic root of 10709010 is about 220.4193791061.

Adding to 10709010 its reverse (1090701), we get a palindrome (11799711).

The spelling of 10709010 in words is "ten million, seven hundred nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 113 117 130 135 162 195 226 234 243 270 339 351 390 405 486 565 585 678 702 729 810 1017 1053 1130 1170 1215 1458 1469 1695 1755 2034 2106 2430 2938 3051 3159 3390 3510 3645 4407 5085 5265 6102 6318 7290 7345 8814 9153 9477 10170 10530 13221 14690 15255 15795 18306 18954 22035 26442 27459 30510 31590 39663 44070 45765 47385 54918 66105 79326 82377 91530 94770 118989 132210 137295 164754 198315 237978 274590 356967 396630 411885 594945 713934 823770 1070901 1189890 1784835 2141802 3569670 5354505 10709010