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63140 = 22571141
BaseRepresentation
bin1111011010100100
310012121112
433122210
54010030
61204152
7352040
oct173244
9105545
1063140
1143490
1230658
132297c
1419020
1513a95
hexf6a4

63140 has 48 divisors (see below), whose sum is σ = 169344. Its totient is φ = 19200.

The previous prime is 63131. The next prime is 63149. The reversal of 63140 is 4136.

It is an interprime number because it is at equal distance from previous prime (63131) and next prime (63149).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63149) by changing a digit.

63140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

263140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84672).

63140 is an abundant number, since it is smaller than the sum of its proper divisors (106204).

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

63140 is a wasteful number, since it uses less digits than its factorization.

63140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 63140 is about 251.2767398706. The cubic root of 63140 is about 39.8200247708.

Adding to 63140 its reverse (4136), we get a palindrome (67276).

The spelling of 63140 in words is "sixty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 4510 5740 6314 9020 12628 15785 31570 63140