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38520 = 23325107
BaseRepresentation
bin1001011001111000
31221211200
421121320
52213040
6454200
7220206
oct113170
957750
1038520
1126a39
121a360
13146c1
1410076
15b630
hex9678

38520 has 48 divisors (see below), whose sum is σ = 126360. Its totient is φ = 10176.

The previous prime is 38501. The next prime is 38543. The reversal of 38520 is 2583.

38520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 38493 and 38502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38520.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307 + ... + 413.

238520 is an apocalyptic number.

38520 is a gapful number since it is divisible by the number (30) 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 38520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180).

38520 is an abundant number, since it is smaller than the sum of its proper divisors (87840).

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

38520 is a wasteful number, since it uses less digits than its factorization.

38520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 38520 is about 196.2651268056. The cubic root of 38520 is about 33.7724130959.

Subtracting from 38520 its reverse (2583), we obtain a cube (35937 = 333).

The spelling of 38520 in words is "thirty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 38520