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38087140 = 225713171231
BaseRepresentation
bin1001000101001…
…0100111100100
32122200000201211
42101102213210
534222242030
63440201204
7641510140
oct221224744
978600654
1038087140
111a554483
1210909204
137b76c90
1450b6220
15352512a
hex24529e4

38087140 has 96 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 11335680.

The previous prime is 38087129. The next prime is 38087197. The reversal of 38087140 is 4178083.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30325 + ... + 31555.

It is an arithmetic number, because the mean of its divisors is an integer number (1086624).

Almost surely, 238087140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38087140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

38087140 is an abundant number, since it is smaller than the sum of its proper divisors (66228764).

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

38087140 is a wasteful number, since it uses less digits than its factorization.

38087140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 38087140 is about 6171.4779429242. The cubic root of 38087140 is about 336.4543291758.

The spelling of 38087140 in words is "thirty-eight million, eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 884 910 1105 1190 1231 1547 1820 2210 2380 2462 3094 4420 4924 6155 6188 7735 8617 12310 15470 16003 17234 20927 24620 30940 32006 34468 41854 43085 64012 80015 83708 86170 104635 112021 146489 160030 172340 209270 224042 272051 292978 320060 418540 448084 544102 560105 585956 732445 1088204 1120210 1360255 1464890 1904357 2240420 2720510 2929780 3808714 5441020 7617428 9521785 19043570 38087140