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38061660 = 22357136971
BaseRepresentation
bin1001000100110…
…0011001011100
32122121201210010
42101030121130
534220433120
63435443220
7641342640
oct221143134
978551703
1038061660
111a53731a
12108b6510
137b684c0
1450aac20
15351c7e0
hex244c65c

38061660 has 96 divisors (see below), whose sum is σ = 131185152. Its totient is φ = 8029440.

The previous prime is 38061637. The next prime is 38061697. The reversal of 38061660 is 6616083.

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 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, 1975 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (1366512).

Almost surely, 238061660 is an apocalyptic number.

38061660 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 38061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65592576).

38061660 is an abundant number, since it is smaller than the sum of its proper divisors (93123492).

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

38061660 is a wasteful number, since it uses less digits than its factorization.

38061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38061660 is about 6169.4132622155. The cubic root of 38061660 is about 336.3792839966.

The spelling of 38061660 in words is "thirty-eight million, sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 6971 13942 20913 27884 34855 41826 48797 69710 83652 90623 97594 104565 139420 146391 181246 195188 209130 243985 271869 292782 362492 418260 453115 487970 543738 585564 634361 731955 906230 975940 1087476 1268722 1359345 1463910 1812460 1903083 2537444 2718690 2927820 3171805 3806166 5437380 6343610 7612332 9515415 12687220 19030830 38061660