Search a number
-
+
672381060 = 2235134718341
BaseRepresentation
bin101000000100111…
…011100010000100
31201212012111102020
4220010323202010
52334112143220
6150415243140
722443100431
oct5004734204
91655174366
10672381060
113155a592a
121692194b0
13a93bc120
1465428b88
153e069040
hex2813b884

672381060 has 96 divisors (see below), whose sum is σ = 2070738432. Its totient is φ = 161978880.

The previous prime is 672381029. The next prime is 672381071. The reversal of 672381060 is 60183276.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27490 + ... + 45830.

It is an arithmetic number, because the mean of its divisors is an integer number (21570192).

Almost surely, 2672381060 is an apocalyptic number.

672381060 is a gapful number since it is divisible by the number (60) 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 672381060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035369216).

672381060 is an abundant number, since it is smaller than the sum of its proper divisors (1398357372).

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

672381060 is a wasteful number, since it uses less digits than its factorization.

672381060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 672381060 is about 25930.3116063035. The cubic root of 672381060 is about 876.0693581580.

The spelling of 672381060 in words is "six hundred seventy-two million, three hundred eighty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 18341 36660 36682 55023 73364 91705 110046 183410 220092 238433 275115 366820 476866 550230 715299 862027 953732 1100460 1192165 1430598 1724054 2384330 2586081 2861196 3448108 3576495 4310135 4768660 5172162 7152990 8620270 10344324 11206351 12930405 14305980 17240540 22412702 25860810 33619053 44825404 51721620 56031755 67238106 112063510 134476212 168095265 224127020 336190530 672381060