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38808120 = 23351324877
BaseRepresentation
bin1001010000001…
…0101000111000
32201000122201210
42110002220320
534413324440
63503443120
7650602131
oct224025070
981018653
1038808120
111a9a712a
1210bb64a0
13806a1b0
145222c88
153618a80
hex2502a38

38808120 has 64 divisors (see below), whose sum is σ = 125385120. Its totient is φ = 9552384.

The previous prime is 38808113. The next prime is 38808131. The reversal of 38808120 is 2180883.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10879 + ... + 13998.

Almost surely, 238808120 is an apocalyptic number.

38808120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38808120 is an abundant number, since it is smaller than the sum of its proper divisors (86577000).

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

38808120 is a wasteful number, since it uses less digits than its factorization.

38808120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24904 (or 24900 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 38808120 is about 6229.6163605795. The cubic root of 38808120 is about 338.5640710233.

The spelling of 38808120 in words is "thirty-eight million, eight hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 24877 49754 74631 99508 124385 149262 199016 248770 298524 323401 373155 497540 597048 646802 746310 970203 995080 1293604 1492620 1617005 1940406 2587208 2985240 3234010 3880812 4851015 6468020 7761624 9702030 12936040 19404060 38808120