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298897920 = 2932512973
BaseRepresentation
bin10001110100001…
…101001000000000
3202211102120212100
4101310031020000
51103004213140
645354230400
710256406336
oct2164151000
9684376770
10298897920
111437a1482
1284125400
1349c03299
142b9a7b56
151b392530
hex11d0d200

298897920 has 120 divisors (see below), whose sum is σ = 1035247356. Its totient is φ = 79699968.

The previous prime is 298897919. The next prime is 298897943. The reversal of 298897920 is 29798892.

It can be written as a sum of positive squares in 2 ways, for example, as 246364416 + 52533504 = 15696^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16554 + ... + 29526.

Almost surely, 2298897920 is an apocalyptic number.

298897920 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 298897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517623678).

298897920 is an abundant number, since it is smaller than the sum of its proper divisors (736349436).

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

298897920 is a wasteful number, since it uses less digits than its factorization.

298897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 298897920 is about 17288.6644944021. The cubic root of 298897920 is about 668.6122012641.

The spelling of 298897920 in words is "two hundred ninety-eight million, eight hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 12973 23040 25946 38919 51892 64865 77838 103784 116757 129730 155676 194595 207568 233514 259460 311352 389190 415136 467028 518920 583785 622704 778380 830272 934056 1037840 1167570 1245408 1556760 1660544 1868112 2075680 2335140 2490816 3113520 3321088 3736224 4151360 4670280 4981632 6227040 6642176 7472448 8302720 9340560 9963264 12454080 14944896 16605440 18681120 19926528 24908160 29889792 33210880 37362240 49816320 59779584 74724480 99632640 149448960 298897920