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55741320 = 23325672311
BaseRepresentation
bin1101010010100…
…0101110001000
310212212221201100
43110220232020
5103232210240
65310421400
71244536065
oct324505610
9125787640
1055741320
1129512308
1216801860
13b71873b
14758dc6c
154d60e30
hex3528b88

55741320 has 96 divisors (see below), whose sum is σ = 183942720. Its totient is φ = 14636160.

The previous prime is 55741313. The next prime is 55741321. The reversal of 55741320 is 2314755.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55741321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22965 + ... + 25275.

It is an arithmetic number, because the mean of its divisors is an integer number (1916070).

Almost surely, 255741320 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 55741320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91971360).

55741320 is an abundant number, since it is smaller than the sum of its proper divisors (128201400).

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

55741320 is a wasteful number, since it uses less digits than its factorization.

55741320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2388 counting only the distinct ones).

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

The square root of 55741320 is about 7466.0109831154. The cubic root of 55741320 is about 381.9962354462.

The spelling of 55741320 in words is "fifty-five million, seven hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2311 2412 2680 3015 4020 4622 4824 6030 6933 8040 9244 11555 12060 13866 18488 20799 23110 24120 27732 34665 41598 46220 55464 69330 83196 92440 103995 138660 154837 166392 207990 277320 309674 415980 464511 619348 774185 831960 929022 1238696 1393533 1548370 1858044 2322555 2787066 3096740 3716088 4645110 5574132 6193480 6967665 9290220 11148264 13935330 18580440 27870660 55741320