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38236080 = 2435313509
BaseRepresentation
bin1001000111011…
…0111110110000
32122221121001010
42101312332300
534242023310
63443310520
7643000311
oct221667660
978847033
1038236080
111a646373
121097b440
137bc99cc
145114608
153554320
hex2476fb0

38236080 has 80 divisors (see below), whose sum is σ = 119144160. Its totient is φ = 10143744.

The previous prime is 38236063. The next prime is 38236087. The reversal of 38236080 is 8063283.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (38236087) 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, 74866 + ... + 75374.

It is an arithmetic number, because the mean of its divisors is an integer number (1489302).

Almost surely, 238236080 is an apocalyptic number.

38236080 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 38236080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59572080).

38236080 is an abundant number, since it is smaller than the sum of its proper divisors (80908080).

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

38236080 is a wasteful number, since it uses less digits than its factorization.

38236080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38236080 is about 6183.5329707215. The cubic root of 38236080 is about 336.8923276610.

The spelling of 38236080 in words is "thirty-eight million, two hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 509 626 939 1018 1252 1527 1565 1878 2036 2504 2545 3054 3130 3756 4072 4695 5008 5090 6108 6260 7512 7635 8144 9390 10180 12216 12520 15024 15270 18780 20360 24432 25040 30540 37560 40720 61080 75120 122160 159317 318634 477951 637268 796585 955902 1274536 1593170 1911804 2389755 2549072 3186340 3823608 4779510 6372680 7647216 9559020 12745360 19118040 38236080