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10276000 = 25537367
BaseRepresentation
bin100111001100…
…110010100000
3201100002000121
4213030302200
510112313000
61004130024
7153226120
oct47146240
921302017
1010276000
115889569
123536914
13218a397
141516c80
15d7eb1a
hex9ccca0

10276000 has 96 divisors (see below), whose sum is σ = 28933632. Its totient is φ = 3513600.

The previous prime is 10275997. The next prime is 10276031. The reversal of 10276000 is 67201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27817 + ... + 28183.

It is an arithmetic number, because the mean of its divisors is an integer number (301392).

Almost surely, 210276000 is an apocalyptic number.

10276000 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 10276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466816).

10276000 is an abundant number, since it is smaller than the sum of its proper divisors (18657632).

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

10276000 is an equidigital number, since it uses as much as digits as its factorization.

10276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10276000 is about 3205.6200648237. The cubic root of 10276000 is about 217.4075883454.

The spelling of 10276000 in words is "ten million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 367 400 500 560 700 734 800 875 1000 1120 1400 1468 1750 1835 2000 2569 2800 2936 3500 3670 4000 5138 5600 5872 7000 7340 9175 10276 11744 12845 14000 14680 18350 20552 25690 28000 29360 36700 41104 45875 51380 58720 64225 73400 82208 91750 102760 128450 146800 183500 205520 256900 293600 321125 367000 411040 513800 642250 734000 1027600 1284500 1468000 2055200 2569000 5138000 10276000