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10276140 = 2235743569
BaseRepresentation
bin100111001100…
…110100101100
3201100002012210
4213030310230
510112314030
61004130420
7153226410
oct47146454
921302183
1010276140
115889686
123536a10
13218a474
141516d40
15d7ebb0
hex9ccd2c

10276140 has 96 divisors (see below), whose sum is σ = 33707520. Its totient is φ = 2290176.

The previous prime is 10276099. The next prime is 10276153. The reversal of 10276140 is 4167201.

10276140 is digitally balanced in base 2, because in such base 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17776 + ... + 18344.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 210276140 is an apocalyptic number.

10276140 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 10276140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16853760).

10276140 is an abundant number, since it is smaller than the sum of its proper divisors (23431380).

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

10276140 is a wasteful number, since it uses less digits than its factorization.

10276140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10276140 is about 3205.6419013982. The cubic root of 10276140 is about 217.4085756597.

The spelling of 10276140 in words is "ten million, two hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 569 602 645 860 903 1138 1204 1290 1505 1707 1806 2276 2580 2845 3010 3414 3612 3983 4515 5690 6020 6828 7966 8535 9030 11380 11949 15932 17070 18060 19915 23898 24467 34140 39830 47796 48934 59745 73401 79660 97868 119490 122335 146802 171269 238980 244670 293604 342538 367005 489340 513807 685076 734010 856345 1027614 1468020 1712690 2055228 2569035 3425380 5138070 10276140