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55320000 = 26354461
BaseRepresentation
bin1101001100000…
…1110111000000
310212002112202220
43103001313000
5103130220000
65253411040
71241132541
oct323016700
9125075686
1055320000
112925480a
1216639a80
13b5cba38
1474c04c8
154ccb1a0
hex34c1dc0

55320000 has 140 divisors (see below), whose sum is σ = 183297576. Its totient is φ = 14720000.

The previous prime is 55319983. The next prime is 55320011. The reversal of 55320000 is 2355.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

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 19 ways as a sum of consecutive naturals, for example, 119770 + ... + 120230.

Almost surely, 255320000 is an apocalyptic number.

55320000 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 55320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91648788).

55320000 is an abundant number, since it is smaller than the sum of its proper divisors (127977576).

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

55320000 is an equidigital number, since it uses as much as digits as its factorization.

55320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 55320000 is about 7437.7415927148. The cubic root of 55320000 is about 381.0313625921.

Adding to 55320000 its reverse (2355), we get a palindrome (55322355).

The spelling of 55320000 in words is "fifty-five million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 461 480 500 600 625 750 800 922 960 1000 1200 1250 1383 1500 1600 1844 1875 2000 2305 2400 2500 2766 3000 3688 3750 4000 4610 4800 5000 5532 6000 6915 7376 7500 8000 9220 10000 11064 11525 12000 13830 14752 15000 18440 20000 22128 23050 24000 27660 29504 30000 34575 36880 40000 44256 46100 55320 57625 60000 69150 73760 88512 92200 110640 115250 120000 138300 147520 172875 184400 221280 230500 276600 288125 345750 368800 442560 461000 553200 576250 691500 737600 864375 922000 1106400 1152500 1383000 1728750 1844000 2212800 2305000 2766000 3457500 3688000 4610000 5532000 6915000 9220000 11064000 13830000 18440000 27660000 55320000