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20298240 = 29325881
BaseRepresentation
bin100110101101…
…1101000000000
31102012020221200
41031123220000
520144020430
62003021200
7334350354
oct115335000
942166850
1020298240
1110504406
12696a800
1342890c1
1429a5464
151bae460
hex135ba00

20298240 has 120 divisors (see below), whose sum is σ = 70378308. Its totient is φ = 5406720.

The previous prime is 20298233. The next prime is 20298241. The reversal of 20298240 is 4289202.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 1218816 = 4368^2 + 1104^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20298241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22600 + ... + 23480.

Almost surely, 220298240 is an apocalyptic number.

20298240 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 20298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35189154).

20298240 is an abundant number, since it is smaller than the sum of its proper divisors (50080068).

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

20298240 is an equidigital number, since it uses as much as digits as its factorization.

20298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20298240 is about 4505.3568116188. The cubic root of 20298240 is about 272.7843565360.

The spelling of 20298240 in words is "twenty million, two hundred ninety-eight thousand, two hundred forty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 881 960 1152 1280 1440 1536 1762 1920 2304 2560 2643 2880 3524 3840 4405 4608 5286 5760 7048 7680 7929 8810 10572 11520 13215 14096 15858 17620 21144 23040 26430 28192 31716 35240 39645 42288 52860 56384 63432 70480 79290 84576 105720 112768 126864 140960 158580 169152 211440 225536 253728 281920 317160 338304 422880 451072 507456 563840 634320 676608 845760 1014912 1127680 1268640 1353216 1691520 2029824 2255360 2537280 3383040 4059648 5074560 6766080 10149120 20298240