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20202480 = 2433547199
BaseRepresentation
bin100110100010…
…0001111110000
31102000101121000
41031010033300
520132434410
62001002000
7333501234
oct115041760
942011530
1020202480
1110449471
126923300
13425463c
14297c5c4
151b90dc0
hex13443f0

20202480 has 160 divisors (see below), whose sum is σ = 71424000. Its totient is φ = 5246208.

The previous prime is 20202467. The next prime is 20202493. The reversal of 20202480 is 8420202.

It is an interprime number because it is at equal distance from previous prime (20202467) and next prime (20202493).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 101421 + ... + 101619.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 220202480 is an apocalyptic number.

20202480 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 20202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35712000).

20202480 is an abundant number, since it is smaller than the sum of its proper divisors (51221520).

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

20202480 is a wasteful number, since it uses less digits than its factorization.

20202480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20202480 is about 4494.7168987601. The cubic root of 20202480 is about 272.3547131142.

Adding to 20202480 its reverse (8420202), we get a palindrome (28622682).

It can be divided in two parts, 20 and 202480, that added together give a square (202500 = 4502).

The spelling of 20202480 in words is "twenty million, two hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 199 216 235 240 270 282 360 376 398 423 432 470 540 564 597 705 720 752 796 846 940 995 1080 1128 1194 1269 1410 1592 1692 1791 1880 1990 2115 2160 2256 2388 2538 2820 2985 3184 3384 3582 3760 3980 4230 4776 5076 5373 5640 5970 6345 6768 7164 7960 8460 8955 9353 9552 10152 10746 11280 11940 12690 14328 15920 16920 17910 18706 20304 21492 23880 25380 26865 28059 28656 33840 35820 37412 42984 46765 47760 50760 53730 56118 71640 74824 84177 85968 93530 101520 107460 112236 140295 143280 149648 168354 187060 214920 224472 252531 280590 336708 374120 420885 429840 448944 505062 561180 673416 748240 841770 1010124 1122360 1262655 1346832 1683540 2020248 2244720 2525310 3367080 4040496 5050620 6734160 10101240 20202480