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55314320 = 24519151241
BaseRepresentation
bin1101001100000…
…0011110010000
310212002020222112
43103000132100
5103130024240
65253324452
71241110145
oct323003620
9125066875
1055314320
1129250516
1216636728
13b5c9289
1474bc3cc
154cc9665
hex34c0790

55314320 has 80 divisors (see below), whose sum is σ = 136836480. Its totient is φ = 20736000.

The previous prime is 55314319. The next prime is 55314349. The reversal of 55314320 is 2341355.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229400 + ... + 229640.

It is an arithmetic number, because the mean of its divisors is an integer number (1710456).

Almost surely, 255314320 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 55314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68418240).

55314320 is an abundant number, since it is smaller than the sum of its proper divisors (81522160).

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

55314320 is a wasteful number, since it uses less digits than its factorization.

55314320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 55314320 is about 7437.3597465767. The cubic root of 55314320 is about 381.0183213038.

Adding to 55314320 its reverse (2341355), we get a palindrome (57655675).

The spelling of 55314320 in words is "fifty-five million, three hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 151 152 190 241 302 304 380 482 604 755 760 964 1205 1208 1510 1520 1928 2410 2416 2869 3020 3856 4579 4820 5738 6040 9158 9640 11476 12080 14345 18316 19280 22895 22952 28690 36391 36632 45790 45904 57380 72782 73264 91580 114760 145564 181955 183160 229520 291128 363910 366320 582256 691429 727820 1382858 1455640 2765716 2911280 3457145 5531432 6914290 11062864 13828580 27657160 55314320