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55336160 = 25511231367
BaseRepresentation
bin1101001100010…
…1110011100000
310212010100221102
43103011303200
5103131224120
65254013532
71241230625
oct323056340
9125110842
1055336160
1129265970
12166472a8
13b6061b9
1474c634c
154cd0d75
hex34c5ce0

55336160 has 96 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 19233280.

The previous prime is 55336157. The next prime is 55336163. The reversal of 55336160 is 6163355.

It is an interprime number because it is at equal distance from previous prime (55336157) and next prime (55336163).

It is a super-3 number, since 3×553361603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55336163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39797 + ... + 41163.

It is an arithmetic number, because the mean of its divisors is an integer number (1551312).

Almost surely, 255336160 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 55336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

55336160 is an abundant number, since it is smaller than the sum of its proper divisors (93589792).

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

55336160 is a wasteful number, since it uses less digits than its factorization.

55336160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 55336160 is about 7438.8278646572. The cubic root of 55336160 is about 381.0684610938.

The spelling of 55336160 in words is "fifty-five million, three hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1367 1760 1840 2024 2530 2734 3680 4048 5060 5468 6835 8096 10120 10936 13670 15037 20240 21872 27340 30074 31441 40480 43744 54680 60148 62882 75185 109360 120296 125764 150370 157205 218720 240592 251528 300740 314410 345851 481184 503056 601480 628820 691702 1006112 1202960 1257640 1383404 1729255 2405920 2515280 2766808 3458510 5030560 5533616 6917020 11067232 13834040 27668080 55336160