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55564140 = 223553101173
BaseRepresentation
bin1101001111110…
…1011101101100
310212112221200010
43103331131230
5103211023030
65302533220
71243200402
oct323753554
9125487603
1055564140
1129401185
1216737210
13b685bb8
147545472
154d286b0
hex34fd76c

55564140 has 96 divisors (see below), whose sum is σ = 161009856. Its totient is φ = 14310400.

The previous prime is 55564139. The next prime is 55564141. The reversal of 55564140 is 4146555.

55564140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55564139) and next prime (55564141).

It is a Harshad number since it is a multiple of its sum of digits (30).

55564140 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 55564098 and 55564107.

It is not an unprimeable number, because it can be changed into a prime (55564141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321094 + ... + 321266.

It is an arithmetic number, because the mean of its divisors is an integer number (1677186).

Almost surely, 255564140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80504928).

55564140 is an abundant number, since it is smaller than the sum of its proper divisors (105445716).

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

55564140 is a wasteful number, since it uses less digits than its factorization.

55564140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 55564140 is about 7454.1357647953. The cubic root of 55564140 is about 381.5910666439.

The spelling of 55564140 in words is "fifty-five million, five hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 101 106 159 173 202 212 265 303 318 346 404 505 519 530 606 636 692 795 865 1010 1038 1060 1212 1515 1590 1730 2020 2076 2595 3030 3180 3460 5190 5353 6060 9169 10380 10706 16059 17473 18338 21412 26765 27507 32118 34946 36676 45845 52419 53530 55014 64236 69892 80295 87365 91690 104838 107060 110028 137535 160590 174730 183380 209676 262095 275070 321180 349460 524190 550140 926069 1048380 1852138 2778207 3704276 4630345 5556414 9260690 11112828 13891035 18521380 27782070 55564140