Search a number
-
+
55998240 = 2535116663
BaseRepresentation
bin1101010110011…
…1011100100000
310220101000010220
43111213130200
5103313420430
65320123040
71246656114
oct325473440
9126330126
1055998240
1129678341
1216906480
13b7a866c
147619744
154db2110
hex3567720

55998240 has 48 divisors (see below), whose sum is σ = 176395968. Its totient is φ = 14932736.

The previous prime is 55998233. The next prime is 55998247. The reversal of 55998240 is 4289955.

55998240 is digitally balanced in base 2, 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 (55998233) and next prime (55998247).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 55998192 and 55998201.

It is not an unprimeable number, because it can be changed into a prime (55998247) 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 7 ways as a sum of consecutive naturals, for example, 57852 + ... + 58811.

It is an arithmetic number, because the mean of its divisors is an integer number (3674916).

Almost surely, 255998240 is an apocalyptic number.

It is an amenable number.

55998240 is an abundant number, since it is smaller than the sum of its proper divisors (120397728).

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

55998240 is a wasteful number, since it uses less digits than its factorization.

55998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116681 (or 116673 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 55998240 is about 7483.1971776775. The cubic root of 55998240 is about 382.5822284662.

It can be divided in two parts, 55998 and 240, that multiplied together give a triangular number (13439520 = T5184).

The spelling of 55998240 in words is "fifty-five million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 116663 233326 349989 466652 583315 699978 933304 1166630 1399956 1749945 1866608 2333260 2799912 3499890 3733216 4666520 5599824 6999780 9333040 11199648 13999560 18666080 27999120 55998240