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10308840 = 2335271317
BaseRepresentation
bin100111010100…
…110011101000
3201101202001220
4213110303220
510114340330
61004542040
7153423633
oct47246350
921352056
1010308840
115901203
123551920
13219c309
141524c1a
15d89710
hex9d4ce8

10308840 has 64 divisors (see below), whose sum is σ = 31138560. Its totient is φ = 2730240.

The previous prime is 10308803. The next prime is 10308847. The reversal of 10308840 is 4880301.

10308840 = T129 + T130 + ... + T399.

10308840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10308840.

It is not an unprimeable number, because it can be changed into a prime (10308847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32362 + ... + 32678.

It is an arithmetic number, because the mean of its divisors is an integer number (486540).

Almost surely, 210308840 is an apocalyptic number.

10308840 is a gapful number since it is divisible by the number (10) 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 10308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569280).

10308840 is an abundant number, since it is smaller than the sum of its proper divisors (20829720).

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

10308840 is a wasteful number, since it uses less digits than its factorization.

10308840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10308840 is about 3210.7382328679. The cubic root of 10308840 is about 217.6389388397.

It can be divided in two parts, 1030 and 8840, that added together give a triangular number (9870 = T140).

The spelling of 10308840 in words is "ten million, three hundred eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 317 542 634 813 951 1084 1268 1355 1585 1626 1902 2168 2536 2710 3170 3252 3804 4065 4755 5420 6340 6504 7608 8130 9510 10840 12680 16260 19020 32520 38040 85907 171814 257721 343628 429535 515442 687256 859070 1030884 1288605 1718140 2061768 2577210 3436280 5154420 10308840