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20401320 = 2335197863
BaseRepresentation
bin100110111010…
…0110010101000
31102101111100110
41031310302220
520210320240
62005134320
7335260032
oct115646250
942344313
1020401320
11105748a5
1269ba3a0
1342c3cb4
1429d0c52
151bcec80
hex1374ca8

20401320 has 64 divisors (see below), whose sum is σ = 61585920. Its totient is φ = 5406464.

The previous prime is 20401291. The next prime is 20401321. The reversal of 20401320 is 2310402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20401296 and 20401305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23209 + ... + 24071.

It is an arithmetic number, because the mean of its divisors is an integer number (962280).

Almost surely, 220401320 is an apocalyptic number.

20401320 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 20401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30792960).

20401320 is an abundant number, since it is smaller than the sum of its proper divisors (41184600).

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

20401320 is a wasteful number, since it uses less digits than its factorization.

20401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 20401320 is about 4516.7820403469. The cubic root of 20401320 is about 273.2453348821.

Adding to 20401320 its reverse (2310402), we get a palindrome (22711722).

The spelling of 20401320 in words is "twenty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 863 985 1182 1576 1726 1970 2364 2589 2955 3452 3940 4315 4728 5178 5910 6904 7880 8630 10356 11820 12945 17260 20712 23640 25890 34520 51780 103560 170011 340022 510033 680044 850055 1020066 1360088 1700110 2040132 2550165 3400220 4080264 5100330 6800440 10200660 20401320