Search a number
-
+
38200080 = 2435159167
BaseRepresentation
bin1001000110111…
…0001100010000
32122212202122210
42101232030100
534234400310
63442432120
7642460332
oct221561420
978782583
1038200080
111a621316
1210962640
137bb64c9
145105452
153548820
hex246e310

38200080 has 40 divisors (see below), whose sum is σ = 118420992. Its totient is φ = 10186624.

The previous prime is 38200067. The next prime is 38200093. The reversal of 38200080 is 8000283.

It is an interprime number because it is at equal distance from previous prime (38200067) and next prime (38200093).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×382000802 = 2918492224012800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79344 + ... + 79823.

Almost surely, 238200080 is an apocalyptic number.

38200080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38200080 is an abundant number, since it is smaller than the sum of its proper divisors (80220912).

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

38200080 is a wasteful number, since it uses less digits than its factorization.

38200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159183 (or 159177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 38200080 is about 6180.6213279896. The cubic root of 38200080 is about 336.7865642731.

The spelling of 38200080 in words is "thirty-eight million, two hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 159167 318334 477501 636668 795835 955002 1273336 1591670 1910004 2387505 2546672 3183340 3820008 4775010 6366680 7640016 9550020 12733360 19100040 38200080