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38752020 = 22345191259
BaseRepresentation
bin1001001111010…
…0111100010100
32200220210210000
42103310330110
534410031040
63502331300
7650246436
oct223647424
980823700
1038752020
111a968a6a
1210b89b30
13804a7b8
14520a656
153607130
hex24f4f14

38752020 has 120 divisors (see below), whose sum is σ = 128066400. Its totient is φ = 9782208.

The previous prime is 38751997. The next prime is 38752031. The reversal of 38752020 is 2025783.

38752020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30151 + ... + 31409.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 238752020 is an apocalyptic number.

38752020 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 38752020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64033200).

38752020 is an abundant number, since it is smaller than the sum of its proper divisors (89314380).

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

38752020 is a wasteful number, since it uses less digits than its factorization.

38752020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38752020 is about 6225.1120471844. The cubic root of 38752020 is about 338.4008525707.

The spelling of 38752020 in words is "thirty-eight million, seven hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1259 1539 1620 1710 2052 2518 2565 3078 3420 3777 5036 5130 6156 6295 7554 7695 10260 11331 12590 15108 15390 18885 22662 23921 25180 30780 33993 37770 45324 47842 56655 67986 71763 75540 95684 101979 113310 119605 135972 143526 169965 203958 215289 226620 239210 287052 339930 358815 407916 430578 478420 509895 645867 679860 717630 861156 1019790 1076445 1291734 1435260 1937601 2039580 2152890 2583468 3229335 3875202 4305780 6458670 7750404 9688005 12917340 19376010 38752020