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255004320 = 25351927961
BaseRepresentation
bin11110011001100…
…00111010100000
3122202211120011110
433030300322200
51010240114240
641145343320
76214333554
oct1714607240
9582746143
10255004320
11120a4157a
1271497b40
1340aa543c
1425c1d864
15175c1c80
hexf330ea0

255004320 has 96 divisors (see below), whose sum is σ = 845570880. Its totient is φ = 64419840.

The previous prime is 255004307. The next prime is 255004327. The reversal of 255004320 is 23400552.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (255004327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4861 + ... + 23100.

It is an arithmetic number, because the mean of its divisors is an integer number (8808030).

Almost surely, 2255004320 is an apocalyptic number.

255004320 is a gapful number since it is divisible by the number (20) 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 255004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422785440).

255004320 is an abundant number, since it is smaller than the sum of its proper divisors (590566560).

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

255004320 is a wasteful number, since it uses less digits than its factorization.

255004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27998 (or 27990 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 255004320 is about 15968.8546865453. The cubic root of 255004320 is about 634.1361515022.

Adding to 255004320 its reverse (23400552), we get a palindrome (278404872).

The spelling of 255004320 in words is "two hundred fifty-five million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 27961 55922 83883 111844 139805 167766 223688 279610 335532 419415 447376 531259 559220 671064 838830 894752 1062518 1118440 1342128 1593777 1677660 2125036 2236880 2656295 2684256 3187554 3355320 4250072 4473760 5312590 6375108 6710640 7968885 8500144 10625180 12750216 13421280 15937770 17000288 21250360 25500432 31875540 42500720 51000864 63751080 85001440 127502160 255004320