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10485020 = 2257213823
BaseRepresentation
bin100111111111…
…110100011100
3201201200202002
4213333310130
510141010040
61012421432
7155056400
oct47776434
921650662
1010485020
115a11607
123617878
132231570
14156d100
15dc1a15
hex9ffd1c

10485020 has 72 divisors (see below), whose sum is σ = 27617184. Its totient is φ = 3314304.

The previous prime is 10485019. The next prime is 10485029. The reversal of 10485020 is 2058401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10484983 and 10485001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485029) 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, 12329 + ... + 13151.

It is an arithmetic number, because the mean of its divisors is an integer number (383572).

Almost surely, 210485020 is an apocalyptic number.

10485020 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 10485020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808592).

10485020 is an abundant number, since it is smaller than the sum of its proper divisors (17132164).

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

10485020 is a wasteful number, since it uses less digits than its factorization.

10485020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 10485020 is about 3238.0580600107. The cubic root of 10485020 is about 218.8717722001.

The spelling of 10485020 in words is "ten million, four hundred eighty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 823 910 980 1274 1646 1820 2548 3185 3292 4115 5761 6370 8230 10699 11522 12740 16460 21398 23044 28805 40327 42796 53495 57610 74893 80654 106990 115220 149786 161308 201635 213980 299572 374465 403270 524251 748930 806540 1048502 1497860 2097004 2621255 5242510 10485020