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10940180 = 22517231399
BaseRepresentation
bin101001101110…
…111100010100
3202120211002212
4221232330110
510300041210
61030252552
7161663366
oct51567424
922524085
1010940180
1161a2579
1237b7158
1323607a4
14164ad36
15e61805
hexa6ef14

10940180 has 48 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 3936768.

The previous prime is 10940159. The next prime is 10940191. The reversal of 10940180 is 8104901.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7121 + ... + 8519.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 210940180 is an apocalyptic number.

10940180 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 10940180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

10940180 is an abundant number, since it is smaller than the sum of its proper divisors (14461420).

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

10940180 is a wasteful number, since it uses less digits than its factorization.

10940180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 10940180 is about 3307.5942919288. The cubic root of 10940180 is about 221.9941291091.

The spelling of 10940180 in words is "ten million, nine hundred forty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1399 1564 1955 2798 3910 5596 6995 7820 13990 23783 27980 32177 47566 64354 95132 118915 128708 160885 237830 321770 475660 547009 643540 1094018 2188036 2735045 5470090 10940180