Search a number
-
+
38019540 = 22351379617
BaseRepresentation
bin1001000100001…
…0000111010100
32122112121000010
42101002013110
534213111130
63434520220
7641106066
oct221020724
978477003
1038019540
111a508709
1210896070
137b52290
145099736
1535100b0
hex24421d4

38019540 has 96 divisors (see below), whose sum is σ = 116282880. Its totient is φ = 9225216.

The previous prime is 38019533. The next prime is 38019557. The reversal of 38019540 is 4591083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38019498 and 38019507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61312 + ... + 61928.

It is an arithmetic number, because the mean of its divisors is an integer number (1211280).

Almost surely, 238019540 is an apocalyptic number.

38019540 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 38019540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58141440).

38019540 is an abundant number, since it is smaller than the sum of its proper divisors (78263340).

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

38019540 is a wasteful number, since it uses less digits than its factorization.

38019540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38019540 is about 6165.9987025623. The cubic root of 38019540 is about 336.2551562436.

The spelling of 38019540 in words is "thirty-eight million, nineteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 390 395 474 617 780 790 948 1027 1185 1234 1580 1851 2054 2370 2468 3081 3085 3702 4108 4740 5135 6162 6170 7404 8021 9255 10270 12324 12340 15405 16042 18510 20540 24063 30810 32084 37020 40105 48126 48743 61620 80210 96252 97486 120315 146229 160420 194972 240630 243715 292458 481260 487430 584916 633659 731145 974860 1267318 1462290 1900977 2534636 2924580 3168295 3801954 6336590 7603908 9504885 12673180 19009770 38019540