Search a number
-
+
687130272 = 253215111579
BaseRepresentation
bin101000111101001…
…100011010100000
31202212221211112100
4220331030122200
52401401132042
6152103330400
723012340153
oct5075143240
91685854470
10687130272
1132295a164
12172150a00
13ac48457a
1467387c9a
15404ce24c
hex28f4c6a0

687130272 has 72 divisors (see below), whose sum is σ = 1956558240. Its totient is φ = 228746880.

The previous prime is 687130253. The next prime is 687130273. The reversal of 687130272 is 272031786.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (687130273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434379 + ... + 435957.

It is an arithmetic number, because the mean of its divisors is an integer number (27174420).

Almost surely, 2687130272 is an apocalyptic number.

It is an amenable number.

687130272 is an abundant number, since it is smaller than the sum of its proper divisors (1269427968).

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

687130272 is a wasteful number, since it uses less digits than its factorization.

687130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 687130272 is about 26213.1698197681. The cubic root of 687130272 is about 882.4288410819.

The spelling of 687130272 in words is "six hundred eighty-seven million, one hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1511 1579 3022 3158 4533 4737 6044 6316 9066 9474 12088 12632 13599 14211 18132 18948 24176 25264 27198 28422 36264 37896 48352 50528 54396 56844 72528 75792 108792 113688 145056 151584 217584 227376 435168 454752 2385869 4771738 7157607 9543476 14315214 19086952 21472821 28630428 38173904 42945642 57260856 76347808 85891284 114521712 171782568 229043424 343565136 687130272