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38070 = 234547
BaseRepresentation
bin1001010010110110
31221020000
421102312
52204240
6452130
7215664
oct112266
957200
1038070
112666a
121a046
1314436
14dc34
15b430
hex94b6

38070 has 40 divisors (see below), whose sum is σ = 104544. Its totient is φ = 9936.

The previous prime is 38069. The next prime is 38083. The reversal of 38070 is 7083.

38070 is digitally balanced in base 2 and base 6, 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 (18).

38070 is strictly pandigital in base 6.

It is a plaindrome in base 8 and base 11.

It is a nialpdrome in base 15.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 787 + ... + 833.

238070 is an apocalyptic number.

38070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52272).

38070 is an abundant number, since it is smaller than the sum of its proper divisors (66474).

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

38070 is a wasteful number, since it uses less digits than its factorization.

38070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 38070 is about 195.1153504981. The cubic root of 38070 is about 33.6403851136.

The spelling of 38070 in words is "thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 38070