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55206840 = 23351343823
BaseRepresentation
bin1101001010011…
…0001110111000
310211212210112210
43102212032320
5103113104330
65251135120
71240151613
oct322461670
9124783483
1055206840
1129187797
12165a44a0
13b58c390
14749117a
154ca78b0
hex34a63b8

55206840 has 128 divisors (see below), whose sum is σ = 182730240. Its totient is φ = 13257216.

The previous prime is 55206839. The next prime is 55206847. The reversal of 55206840 is 4860255.

55206840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 55206798 and 55206807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55206847) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66669 + ... + 67491.

It is an arithmetic number, because the mean of its divisors is an integer number (1427580).

Almost surely, 255206840 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 55206840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91365120).

55206840 is an abundant number, since it is smaller than the sum of its proper divisors (127523400).

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

55206840 is a wasteful number, since it uses less digits than its factorization.

55206840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55206840 is about 7430.1305506700. The cubic root of 55206840 is about 380.7713786070.

The spelling of 55206840 in words is "fifty-five million, two hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 823 860 1032 1118 1290 1560 1646 1677 1720 2236 2469 2580 2795 3292 3354 4115 4472 4938 5160 5590 6584 6708 8230 8385 9876 10699 11180 12345 13416 16460 16770 19752 21398 22360 24690 32097 32920 33540 35389 42796 49380 53495 64194 67080 70778 85592 98760 106167 106990 128388 141556 160485 176945 212334 213980 256776 283112 320970 353890 424668 427960 460057 530835 641940 707780 849336 920114 1061670 1283880 1380171 1415560 1840228 2123340 2300285 2760342 3680456 4246680 4600570 5520684 6900855 9201140 11041368 13801710 18402280 27603420 55206840