Search a number
-
+
38183140 = 22529431531
BaseRepresentation
bin1001000110101…
…0000011100100
32122211220102101
42101222003210
534233330030
63442221444
7642360052
oct221520344
978756371
1038183140
111a60a616
1210954884
137bab898
1450dd1d2
1535437ca
hex246a0e4

38183140 has 48 divisors (see below), whose sum is σ = 84934080. Its totient is φ = 14394240.

The previous prime is 38183137. The next prime is 38183143. The reversal of 38183140 is 4138183.

It is an interprime number because it is at equal distance from previous prime (38183137) and next prime (38183143).

It is a junction number, because it is equal to n+sod(n) for n = 38183099 and 38183108.

It is not an unprimeable number, because it can be changed into a prime (38183143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24175 + ... + 25705.

It is an arithmetic number, because the mean of its divisors is an integer number (1769460).

Almost surely, 238183140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38183140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42467040).

38183140 is an abundant number, since it is smaller than the sum of its proper divisors (46750940).

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

38183140 is a wasteful number, since it uses less digits than its factorization.

38183140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 38183140 is about 6179.2507636444. The cubic root of 38183140 is about 336.7367737323.

It can be divided in two parts, 381 and 83140, that added together give a 4-th power (83521 = 174).

The spelling of 38183140 in words is "thirty-eight million, one hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 1531 2494 3062 4988 6124 6235 7655 12470 15310 24940 30620 44399 65833 88798 131666 177596 221995 263332 329165 443990 658330 887980 1316660 1909157 3818314 7636628 9545785 19091570 38183140