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10550120 = 235741919
BaseRepresentation
bin101000001111…
…101101101000
3201212000001012
4220033231220
510200100440
61014043052
7155450240
oct50175550
921760035
1010550120
115a56509
123649488
132255099
141588b20
15dd5e65
hexa0fb68

10550120 has 64 divisors (see below), whose sum is σ = 27820800. Its totient is φ = 3525120.

The previous prime is 10550101. The next prime is 10550129. The reversal of 10550120 is 2105501.

10550120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105501203 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10550095 and 10550104.

It is not an unprimeable number, because it can be changed into a prime (10550129) 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, 11021 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (434700).

Almost surely, 210550120 is an apocalyptic number.

10550120 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 10550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13910400).

10550120 is an abundant number, since it is smaller than the sum of its proper divisors (17270680).

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

10550120 is a wasteful number, since it uses less digits than its factorization.

10550120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 10550120 is about 3248.0948262020. The cubic root of 10550120 is about 219.3238191710.

Adding to 10550120 its reverse (2105501), we get a palindrome (12655621).

The spelling of 10550120 in words is "ten million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 919 1148 1435 1640 1838 2296 2870 3676 4595 5740 6433 7352 9190 11480 12866 18380 25732 32165 36760 37679 51464 64330 75358 128660 150716 188395 257320 263753 301432 376790 527506 753580 1055012 1318765 1507160 2110024 2637530 5275060 10550120