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297169920 = 2103256449
BaseRepresentation
bin10001101101100…
…111010000000000
3202201011210111100
4101231213100000
51102033414140
645253214400
710235621415
oct2155472000
9681153440
10297169920
11142821183
1283631400
13497498b8
142b67810c
151b150530
hex11b67400

297169920 has 132 divisors (see below), whose sum is σ = 1029845700. Its totient is φ = 79233024.

The previous prime is 297169891. The next prime is 297169973. The reversal of 297169920 is 29961792.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 81432576 = 14688^2 + 9024^2 .

It is a super-2 number, since 2×2971699202 = 176619922705612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 42856 + ... + 49304.

Almost surely, 2297169920 is an apocalyptic number.

297169920 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 297169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514922850).

297169920 is an abundant number, since it is smaller than the sum of its proper divisors (732675780).

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

297169920 is a wasteful number, since it uses less digits than its factorization.

297169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6459 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 297169920 is about 17238.6171139103. The cubic root of 297169920 is about 667.3212415317.

The spelling of 297169920 in words is "two hundred ninety-seven million, one hundred sixty-nine 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 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 6449 7680 9216 11520 12898 15360 19347 23040 25796 32245 38694 46080 51592 58041 64490 77388 96735 103184 116082 128980 154776 193470 206368 232164 257960 290205 309552 386940 412736 464328 515920 580410 619104 773880 825472 928656 1031840 1160820 1238208 1547760 1650944 1857312 2063680 2321640 2476416 3095520 3301888 3714624 4127360 4643280 4952832 6191040 6603776 7429248 8254720 9286560 9905664 12382080 14858496 16509440 18573120 19811328 24764160 29716992 33018880 37146240 49528320 59433984 74292480 99056640 148584960 297169920