Search a number
-
+
138176208 = 24321950503
BaseRepresentation
bin10000011110001…
…10011011010000
3100122000002010100
420033012123100
5240333114313
621413332400
73265323042
oct1017063320
9318002110
10138176208
1170aa6915
123a337100
132281c191
14144cba92
15c1e6173
hex83c66d0

138176208 has 60 divisors (see below), whose sum is σ = 407062240. Its totient is φ = 43633728.

The previous prime is 138176197. The next prime is 138176231. The reversal of 138176208 is 802671831.

138176208 is a `hidden beast` number, since 1 + 381 + 76 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22516 + ... + 27987.

Almost surely, 2138176208 is an apocalyptic number.

138176208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138176208 is an abundant number, since it is smaller than the sum of its proper divisors (268886032).

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

138176208 is a wasteful number, since it uses less digits than its factorization.

138176208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50536 (or 50527 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 138176208 is about 11754.8376424347. The cubic root of 138176208 is about 516.9847788232.

It can be divided in two parts, 138176 and 208, that added together give a square (138384 = 3722).

The spelling of 138176208 in words is "one hundred thirty-eight million, one hundred seventy-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 50503 101006 151509 202012 303018 404024 454527 606036 808048 909054 959557 1212072 1818108 1919114 2424144 2878671 3636216 3838228 5757342 7272432 7676456 8636013 11514684 15352912 17272026 23029368 34544052 46058736 69088104 138176208