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55371240 = 23325374157
BaseRepresentation
bin1101001100111…
…0010111101000
310212012011001200
43103032113220
5103133334430
65254444200
71241435121
oct323162750
9125164050
1055371240
112928a261
1216663660
13b619162
1474d5048
154cdb460
hex34ce5e8

55371240 has 96 divisors (see below), whose sum is σ = 184864680. Its totient is φ = 14363136.

The previous prime is 55371233. The next prime is 55371241. The reversal of 55371240 is 4217355.

It is a happy number.

55371240 is a `hidden beast` number, since 5 + 537 + 124 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51753636 + 3617604 = 7194^2 + 1902^2 .

It is not an unprimeable number, because it can be changed into a prime (55371241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11242 + ... + 15398.

Almost surely, 255371240 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 55371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432340).

55371240 is an abundant number, since it is smaller than the sum of its proper divisors (129493440).

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

55371240 is a wasteful number, since it uses less digits than its factorization.

55371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55371240 is about 7441.1853894390. The cubic root of 55371240 is about 381.1489693774.

Adding to 55371240 its reverse (4217355), we get a palindrome (59588595).

It can be divided in two parts, 55371 and 240, that added together give a triangular number (55611 = T333).

The spelling of 55371240 in words is "fifty-five million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4157 4440 6660 8314 12471 13320 16628 20785 24942 33256 37413 41570 49884 62355 74826 83140 99768 124710 149652 153809 166280 187065 249420 299304 307618 374130 461427 498840 615236 748260 769045 922854 1230472 1384281 1496520 1538090 1845708 2307135 2768562 3076180 3691416 4614270 5537124 6152360 6921405 9228540 11074248 13842810 18457080 27685620 55371240