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18296820 = 22335311093
BaseRepresentation
bin100010111001…
…0111111110100
31021102120112000
41011302333310
514140444240
61452055300
7311343333
oct105627764
937376460
1018296820
11a367743
126164530
133a38129
142603d1a
151916430
hex1172ff4

18296820 has 96 divisors (see below), whose sum is σ = 58813440. Its totient is φ = 4717440.

The previous prime is 18296813. The next prime is 18296827. The reversal of 18296820 is 2869281.

It is an interprime number because it is at equal distance from previous prime (18296813) and next prime (18296827).

It is a super-2 number, since 2×182968202 = 669547244224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18296827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16194 + ... + 17286.

It is an arithmetic number, because the mean of its divisors is an integer number (612640).

Almost surely, 218296820 is an apocalyptic number.

18296820 is a gapful number since it is divisible by the number (10) 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 18296820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29406720).

18296820 is an abundant number, since it is smaller than the sum of its proper divisors (40516620).

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

18296820 is a wasteful number, since it uses less digits than its factorization.

18296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18296820 is about 4277.4782290504. The cubic root of 18296820 is about 263.5068272220.

It can be divided in two parts, 1829 and 6820, that added together give a square (8649 = 932).

The spelling of 18296820 in words is "eighteen million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1093 1116 1395 1674 1860 2186 2790 3279 3348 4185 4372 5465 5580 6558 8370 9837 10930 13116 16395 16740 19674 21860 29511 32790 33883 39348 49185 59022 65580 67766 98370 101649 118044 135532 147555 169415 196740 203298 295110 304947 338830 406596 508245 590220 609894 677660 914841 1016490 1219788 1524735 1829682 2032980 3049470 3659364 4574205 6098940 9148410 18296820