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23920020 = 22325177817
BaseRepresentation
bin101101100111…
…1110110010100
31200000021002200
41123033312110
522110420040
62212404500
7410213445
oct133176624
950007080
1023920020
1112558513
128016730
134c56777
1432692cc
152177630
hex16cfd94

23920020 has 72 divisors (see below), whose sum is σ = 76835304. Its totient is φ = 6002688.

The previous prime is 23920007. The next prime is 23920067. The reversal of 23920020 is 2002932.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 23677956 = 492^2 + 4866^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23919975 and 23920002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849 + ... + 6968.

It is an arithmetic number, because the mean of its divisors is an integer number (1067157).

Almost surely, 223920020 is an apocalyptic number.

23920020 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 23920020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38417652).

23920020 is an abundant number, since it is smaller than the sum of its proper divisors (52915284).

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

23920020 is a wasteful number, since it uses less digits than its factorization.

23920020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7844 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 23920020 is about 4890.8097489066. The cubic root of 23920020 is about 288.1291376885.

Adding to 23920020 its reverse (2002932), we get a palindrome (25922952).

The spelling of 23920020 in words is "twenty-three million, nine hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7817 15634 23451 31268 39085 46902 70353 78170 93804 117255 132889 140706 156340 234510 265778 281412 351765 398667 469020 531556 664445 703530 797334 1196001 1328890 1407060 1594668 1993335 2392002 2657780 3986670 4784004 5980005 7973340 11960010 23920020