Search a number
-
+
380772 = 223271511
BaseRepresentation
bin1011100111101100100
3201100022200
41130331210
544141042
612054500
73144060
oct1347544
9640280
10380772
11240097
12164430
13104412
149caa0
1577c4c
hex5cf64

380772 has 36 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 108720.

The previous prime is 380753. The next prime is 380777. The reversal of 380772 is 277083.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (380777) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 504 + ... + 1007.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2380772 is an apocalyptic number.

380772 is the 504-th pentagonal number.

It is an amenable number.

380772 is an abundant number, since it is smaller than the sum of its proper divisors (719964).

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

380772 is a wasteful number, since it uses less digits than its factorization.

380772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 380772 is about 617.0672572743. The cubic root of 380772 is about 72.4805814026.

The spelling of 380772 in words is "three hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1511 3022 4533 6044 9066 10577 13599 18132 21154 27198 31731 42308 54396 63462 95193 126924 190386 380772