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20502160 = 2457311181
BaseRepresentation
bin100111000110…
…1011010010000
31102120121200021
41032031122100
520222032120
62011233224
7336160030
oct116153220
942517607
1020502160
1110633638
126a48814
13432ab73
142a198c0
151beeaaa
hex138d690

20502160 has 80 divisors (see below), whose sum is σ = 56282112. Its totient is φ = 6796800.

The previous prime is 20502151. The next prime is 20502169. The reversal of 20502160 is 6120502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20502151) and next prime (20502169).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20502169) 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 15 ways as a sum of consecutive naturals, for example, 16770 + ... + 17950.

Almost surely, 220502160 is an apocalyptic number.

20502160 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 20502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141056).

20502160 is an abundant number, since it is smaller than the sum of its proper divisors (35779952).

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

20502160 is a wasteful number, since it uses less digits than its factorization.

20502160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 20502160 is about 4527.9310948821. The cubic root of 20502160 is about 273.6947957600.

Adding to 20502160 its reverse (6120502), we get a palindrome (26622662).

The spelling of 20502160 in words is "twenty million, five hundred two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 217 248 280 310 434 496 560 620 868 1085 1181 1240 1736 2170 2362 2480 3472 4340 4724 5905 8267 8680 9448 11810 16534 17360 18896 23620 33068 36611 41335 47240 66136 73222 82670 94480 132272 146444 165340 183055 256277 292888 330680 366110 512554 585776 661360 732220 1025108 1281385 1464440 2050216 2562770 2928880 4100432 5125540 10251080 20502160