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11770020 = 22325232843
BaseRepresentation
bin101100111001…
…100010100100
3211010222102200
4230321202210
511003120040
61100134500
7202020633
oct54714244
924128380
1011770020
116709a99
123b37430
132591412
1417c551a
151077630
hexb398a4

11770020 has 72 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 3001152.

The previous prime is 11770019. The next prime is 11770021. The reversal of 11770020 is 2007711.

It is an interprime number because it is at equal distance from previous prime (11770019) and next prime (11770021).

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 = 11769975 and 11770002.

It is not an unprimeable number, because it can be changed into a prime (11770021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2719 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (517608).

Almost surely, 211770020 is an apocalyptic number.

11770020 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 11770020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18633888).

11770020 is an abundant number, since it is smaller than the sum of its proper divisors (25497756).

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

11770020 is a wasteful number, since it uses less digits than its factorization.

11770020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 11770020 is about 3430.7462745006. The cubic root of 11770020 is about 227.4708411689.

Adding to 11770020 its reverse (2007711), we get a palindrome (13777731).

It can be divided in two parts, 1 and 1770020, that added together give a triangular number (1770021 = T1881).

The spelling of 11770020 in words is "eleven million, seven hundred seventy thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 2843 4140 5686 8529 11372 14215 17058 25587 28430 34116 42645 51174 56860 65389 85290 102348 127935 130778 170580 196167 255870 261556 326945 392334 511740 588501 653890 784668 980835 1177002 1307780 1961670 2354004 2942505 3923340 5885010 11770020