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55321400 = 23521753307
BaseRepresentation
bin1101001100001…
…0001100111000
310212002121200202
43103002030320
5103130241100
65253421332
71241136611
oct323021470
9125077622
1055321400
1129255872
121663a848
13b5cc574
1474c0c08
154ccb7d5
hex34c2338

55321400 has 96 divisors (see below), whose sum is σ = 139209840. Its totient is φ = 20367360.

The previous prime is 55321367. The next prime is 55321429. The reversal of 55321400 is 412355.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 180047 + ... + 180353.

Almost surely, 255321400 is an apocalyptic number.

55321400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69604920).

55321400 is an abundant number, since it is smaller than the sum of its proper divisors (83888440).

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

55321400 is a wasteful number, since it uses less digits than its factorization.

55321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 55321400 is about 7437.8357067093. The cubic root of 55321400 is about 381.0345768570.

Adding to 55321400 its reverse (412355), we get a palindrome (55733755).

The spelling of 55321400 in words is "fifty-five million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 307 340 424 425 530 614 680 850 901 1060 1228 1325 1535 1700 1802 2120 2456 2650 3070 3400 3604 4505 5219 5300 6140 7208 7675 9010 10438 10600 12280 15350 16271 18020 20876 22525 26095 30700 32542 36040 41752 45050 52190 61400 65084 81355 90100 104380 130168 130475 162710 180200 208760 260950 276607 325420 406775 521900 553214 650840 813550 1043800 1106428 1383035 1627100 2212856 2766070 3254200 5532140 6915175 11064280 13830350 27660700 55321400