Search a number
-
+
38860290 = 2335729709
BaseRepresentation
bin1001010000111…
…1011000000010
32201010022022000
42110033120002
534422012130
63504524430
7651210210
oct224173002
981108260
1038860290
111aa32347
1211020716
138087b71
145237cb0
153629260
hex250f602

38860290 has 128 divisors (see below), whose sum is σ = 122688000. Its totient is φ = 8563968.

The previous prime is 38860279. The next prime is 38860307. The reversal of 38860290 is 9206883.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54456 + ... + 55164.

It is an arithmetic number, because the mean of its divisors is an integer number (958500).

Almost surely, 238860290 is an apocalyptic number.

38860290 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 38860290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61344000).

38860290 is an abundant number, since it is smaller than the sum of its proper divisors (83827710).

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

38860290 is a wasteful number, since it uses less digits than its factorization.

38860290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38860290 is about 6233.8022105293. The cubic root of 38860290 is about 338.7157143624.

The spelling of 38860290 in words is "thirty-eight million, eight hundred sixty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 29 30 35 42 45 54 58 63 70 87 90 105 126 135 145 174 189 203 210 261 270 290 315 378 406 435 522 609 630 709 783 870 945 1015 1218 1305 1418 1566 1827 1890 2030 2127 2610 3045 3545 3654 3915 4254 4963 5481 6090 6381 7090 7830 9135 9926 10635 10962 12762 14889 18270 19143 20561 21270 24815 27405 29778 31905 38286 41122 44667 49630 54810 61683 63810 74445 89334 95715 102805 123366 134001 143927 148890 185049 191430 205610 223335 268002 287854 308415 370098 431781 446670 555147 616830 670005 719635 863562 925245 1110294 1295343 1340010 1439270 1850490 2158905 2590686 2775735 3886029 4317810 5551470 6476715 7772058 12953430 19430145 38860290