[go: up one dir, main page]

Search a number
-
+
38014890 = 23517131569
BaseRepresentation
bin1001000100000…
…0111110101010
32122112100121220
42101000332222
534212434030
63434442510
7641056404
oct221007652
978470556
1038014890
111a505171
1210893436
137b50124
145097b74
15350da10
hex2440faa

38014890 has 64 divisors (see below), whose sum is σ = 97511040. Its totient is φ = 9451520.

The previous prime is 38014871. The next prime is 38014927. The reversal of 38014890 is 9841083.

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, 66526 + ... + 67094.

It is an arithmetic number, because the mean of its divisors is an integer number (1523610).

Almost surely, 238014890 is an apocalyptic number.

38014890 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 38014890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48755520).

38014890 is an abundant number, since it is smaller than the sum of its proper divisors (59496150).

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

38014890 is a wasteful number, since it uses less digits than its factorization.

38014890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 38014890 is about 6165.6216231618. The cubic root of 38014890 is about 336.2414470630.

The spelling of 38014890 in words is "thirty-eight million, fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 131 170 255 262 393 510 569 655 786 1138 1310 1707 1965 2227 2845 3414 3930 4454 5690 6681 8535 9673 11135 13362 17070 19346 22270 29019 33405 48365 58038 66810 74539 96730 145095 149078 223617 290190 372695 447234 745390 1118085 1267163 2236170 2534326 3801489 6335815 7602978 12671630 19007445 38014890