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38910240 = 253359007
BaseRepresentation
bin1001010001101…
…1100100100000
32201012211211000
42110123210200
534430111430
63505552000
7651505635
oct224334440
981184730
1038910240
111aa66926
1211045600
1380a4815
14524c18c
153638e60
hex251b920

38910240 has 96 divisors (see below), whose sum is σ = 136200960. Its totient is φ = 10374912.

The previous prime is 38910217. The next prime is 38910247. The reversal of 38910240 is 4201983.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38910247) 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, 184 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (1418760).

Almost surely, 238910240 is an apocalyptic number.

38910240 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 38910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68100480).

38910240 is an abundant number, since it is smaller than the sum of its proper divisors (97290720).

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

38910240 is a wasteful number, since it uses less digits than its factorization.

38910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 38910240 is about 6237.8073070591. The cubic root of 38910240 is about 338.8607776656.

The spelling of 38910240 in words is "thirty-eight million, nine hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9007 18014 27021 36028 45035 54042 72056 81063 90070 108084 135105 144112 162126 180140 216168 243189 270210 288224 324252 360280 405315 432336 486378 540420 648504 720560 810630 864672 972756 1080840 1215945 1297008 1441120 1621260 1945512 2161680 2431890 2594016 3242520 3891024 4323360 4863780 6485040 7782048 9727560 12970080 19455120 38910240