Search a number
-
+
297128480 = 25511792137
BaseRepresentation
bin10001101101011…
…101001000100000
3202201002200122112
4101231131020200
51102031102410
645252254452
710235356535
oct2155351040
9681080575
10297128480
111427a3030
1283611428
1349733a8c
142b666d8c
151b143105
hex11b5d220

297128480 has 96 divisors (see below), whose sum is σ = 775837440. Its totient is φ = 106629120.

The previous prime is 297128473. The next prime is 297128483. The reversal of 297128480 is 84821792.

It is a super-2 number, since 2×2971284802 = 176570667254220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (297128483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137972 + ... + 140108.

It is an arithmetic number, because the mean of its divisors is an integer number (8081640).

Almost surely, 2297128480 is an apocalyptic number.

297128480 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 297128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387918720).

297128480 is an abundant number, since it is smaller than the sum of its proper divisors (478708960).

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

297128480 is a wasteful number, since it uses less digits than its factorization.

297128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 297128480 is about 17237.4151194429. The cubic root of 297128480 is about 667.2902210325.

The spelling of 297128480 in words is "two hundred ninety-seven million, one hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 79 80 88 110 158 160 176 220 316 352 395 440 632 790 869 880 1264 1580 1738 1760 2137 2528 3160 3476 4274 4345 6320 6952 8548 8690 10685 12640 13904 17096 17380 21370 23507 27808 34192 34760 42740 47014 68384 69520 85480 94028 117535 139040 168823 170960 188056 235070 337646 341920 376112 470140 675292 752224 844115 940280 1350584 1688230 1857053 1880560 2701168 3376460 3714106 3761120 5402336 6752920 7428212 9285265 13505840 14856424 18570530 27011680 29712848 37141060 59425696 74282120 148564240 297128480