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62040 = 23351147
BaseRepresentation
bin1111001001011000
310011002210
433021120
53441130
61155120
7345606
oct171130
9104083
1062040
1142680
122baa0
1322314
1418876
15135b0
hexf258

62040 has 64 divisors (see below), whose sum is σ = 207360. Its totient is φ = 14720.

The previous prime is 62039. The next prime is 62047. The reversal of 62040 is 4026.

Added to its reverse (4026) it gives a triangular number (66066 = T363).

62040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62047) 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, 1297 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

262040 is an apocalyptic number.

62040 is a gapful number since it is divisible by the number (60) 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 62040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

62040 is an abundant number, since it is smaller than the sum of its proper divisors (145320).

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

62040 is a wasteful number, since it uses less digits than its factorization.

62040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

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

The square root of 62040 is about 249.0783009417. The cubic root of 62040 is about 39.5874258619.

Adding to 62040 its reverse (4026), we get a palindrome (66066).

The spelling of 62040 in words is "sixty-two thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040