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55994160 = 24351811289
BaseRepresentation
bin1101010110011…
…0011100110000
310220100210112210
43111212130300
5103313303120
65320052120
71246641165
oct325463460
9126323483
1055994160
1129675272
1216904040
13b7a6851
14761806c
154db0ce0
hex3566730

55994160 has 80 divisors (see below), whose sum is σ = 174676320. Its totient is φ = 14837760.

The previous prime is 55994149. The next prime is 55994161. The reversal of 55994160 is 6149955.

55994160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (55994161) 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 15 ways as a sum of consecutive naturals, for example, 42796 + ... + 44084.

It is an arithmetic number, because the mean of its divisors is an integer number (2183454).

Almost surely, 255994160 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 55994160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87338160).

55994160 is an abundant number, since it is smaller than the sum of its proper divisors (118682160).

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

55994160 is a wasteful number, since it uses less digits than its factorization.

55994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 55994160 is about 7482.9245619611. The cubic root of 55994160 is about 382.5729366658.

The spelling of 55994160 in words is "fifty-five million, nine hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1289 1448 1810 2172 2578 2715 2896 3620 3867 4344 5156 5430 6445 7240 7734 8688 10312 10860 12890 14480 15468 19335 20624 21720 25780 30936 38670 43440 51560 61872 77340 103120 154680 233309 309360 466618 699927 933236 1166545 1399854 1866472 2333090 2799708 3499635 3732944 4666180 5599416 6999270 9332360 11198832 13998540 18664720 27997080 55994160