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10486000 = 245372107
BaseRepresentation
bin101000000000…
…000011110000
3201201202002101
4220000003300
510141023000
61012430144
7155062300
oct50000360
921652071
1010486000
115a12318
123618354
132231b45
14156d600
15dc1e6a
hexa000f0

10486000 has 120 divisors (see below), whose sum is σ = 29770416. Its totient is φ = 3561600.

The previous prime is 10485989. The next prime is 10486001. The reversal of 10486000 is 68401.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97947 + ... + 98053.

Almost surely, 210486000 is an apocalyptic number.

10486000 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 10486000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885208).

10486000 is an abundant number, since it is smaller than the sum of its proper divisors (19284416).

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

10486000 is a wasteful number, since it uses less digits than its factorization.

10486000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 10486000 is about 3238.2093817417. The cubic root of 10486000 is about 218.8785910603.

The spelling of 10486000 in words is "ten million, four hundred eighty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 107 112 125 140 175 196 200 214 245 250 280 350 392 400 428 490 500 535 560 700 749 784 856 875 980 1000 1070 1225 1400 1498 1712 1750 1960 2000 2140 2450 2675 2800 2996 3500 3745 3920 4280 4900 5243 5350 5992 6125 7000 7490 8560 9800 10486 10700 11984 12250 13375 14000 14980 18725 19600 20972 21400 24500 26215 26750 29960 37450 41944 42800 49000 52430 53500 59920 74900 83888 93625 98000 104860 107000 131075 149800 187250 209720 214000 262150 299600 374500 419440 524300 655375 749000 1048600 1310750 1498000 2097200 2621500 5243000 10486000