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255162880 = 295729491
BaseRepresentation
bin11110011010101…
…11101000000000
3122210010121200001
433031113220000
51010310203010
641153005344
76215564050
oct1715275000
9583117601
10255162880
1112103a715
1271553854
1340b2c66b
1425c61560
1517603c3a
hexf357a00

255162880 has 160 divisors (see below), whose sum is σ = 724775040. Its totient is φ = 84295680.

The previous prime is 255162839. The next prime is 255162883. The reversal of 255162880 is 88261552.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255162883) 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, 519435 + ... + 519925.

It is an arithmetic number, because the mean of its divisors is an integer number (4529844).

Almost surely, 2255162880 is an apocalyptic number.

255162880 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 255162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362387520).

255162880 is an abundant number, since it is smaller than the sum of its proper divisors (469612160).

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

255162880 is an equidigital number, since it uses as much as digits as its factorization.

255162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 255162880 is about 15973.8185791626. The cubic root of 255162880 is about 634.2675581587.

The spelling of 255162880 in words is "two hundred fifty-five million, one hundred sixty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 491 512 560 580 640 812 896 928 982 1015 1120 1160 1280 1624 1792 1856 1964 2030 2240 2320 2455 2560 3248 3437 3584 3712 3928 4060 4480 4640 4910 6496 6874 7424 7856 8120 8960 9280 9820 12992 13748 14239 14848 15712 16240 17185 17920 18560 19640 25984 27496 28478 31424 32480 34370 37120 39280 51968 54992 56956 62848 64960 68740 71195 74240 78560 99673 103936 109984 113912 125696 129920 137480 142390 157120 199346 219968 227824 251392 259840 274960 284780 314240 398692 439936 455648 498365 519680 549920 569560 628480 797384 879872 911296 996730 1099840 1139120 1256960 1594768 1759744 1822592 1993460 2199680 2278240 3189536 3645184 3986920 4399360 4556480 6379072 7290368 7973840 8798720 9112960 12758144 15947680 18225920 25516288 31895360 36451840 51032576 63790720 127581440 255162880