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10307310 = 23513219107
BaseRepresentation
bin100111010100…
…011011101110
3201101122222020
4213110123232
510114313220
61004531010
7153416316
oct47243356
921348866
1010307310
115900042
123550a66
13219b700
141524446
15d89040
hex9d46ee

10307310 has 96 divisors (see below), whose sum is σ = 28460160. Its totient is φ = 2381184.

The previous prime is 10307309. The next prime is 10307327. The reversal of 10307310 is 1370301.

It is a super-2 number, since 2×103073102 = 212481278872200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10307310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96277 + ... + 96383.

It is an arithmetic number, because the mean of its divisors is an integer number (296460).

Almost surely, 210307310 is an apocalyptic number.

10307310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3210×3211.

It is a practical number, because each smaller number is the sum of distinct divisors of 10307310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230080).

10307310 is an abundant number, since it is smaller than the sum of its proper divisors (18152850).

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

10307310 is a wasteful number, since it uses less digits than its factorization.

10307310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 10307310 is about 3210.4999610653. The cubic root of 10307310 is about 217.6281712509.

Adding to 10307310 its reverse (1370301), we get a palindrome (11677611).

The spelling of 10307310 in words is "ten million, three hundred seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 107 114 130 169 190 195 214 247 285 321 338 390 494 507 535 570 642 741 845 1014 1070 1235 1391 1482 1605 1690 2033 2470 2535 2782 3210 3211 3705 4066 4173 5070 6099 6422 6955 7410 8346 9633 10165 12198 13910 16055 18083 19266 20330 20865 26429 30495 32110 36166 41730 48165 52858 54249 60990 79287 90415 96330 108498 132145 158574 180830 264290 271245 343577 396435 542490 687154 792870 1030731 1717885 2061462 3435770 5153655 10307310