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38061090 = 236523227
BaseRepresentation
bin1001000100110…
…0010000100010
32122121201000000
42101030100202
534220423330
63435440430
7641341164
oct221142042
978551000
1038061090
111a536951
12108b6116
137b68172
1450aa934
15351c560
hex244c422

38061090 has 112 divisors (see below), whose sum is σ = 107656128. Its totient is φ = 9665568.

The previous prime is 38061083. The next prime is 38061091. The reversal of 38061090 is 9016083.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38061091) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 167557 + ... + 167783.

Almost surely, 238061090 is an apocalyptic number.

38061090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38061090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53828064).

38061090 is an abundant number, since it is smaller than the sum of its proper divisors (69595038).

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

38061090 is a wasteful number, since it uses less digits than its factorization.

38061090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38061090 is about 6169.3670664015. The cubic root of 38061090 is about 336.3776048165.

The spelling of 38061090 in words is "thirty-eight million, sixty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 227 230 243 270 345 405 414 454 486 621 681 690 729 810 1035 1135 1215 1242 1362 1458 1863 2043 2070 2270 2430 3105 3405 3645 3726 4086 5221 5589 6129 6210 6810 7290 9315 10215 10442 11178 12258 15663 16767 18387 18630 20430 26105 27945 30645 31326 33534 36774 46989 52210 55161 55890 61290 78315 83835 91935 93978 110322 140967 156630 165483 167670 183870 234945 275805 281934 330966 422901 469890 551610 704835 827415 845802 1268703 1409670 1654830 2114505 2537406 3806109 4229010 6343515 7612218 12687030 19030545 38061090