Search a number
-
+
679921920 = 2832559021
BaseRepresentation
bin101000100001101…
…100100100000000
31202101101121112100
4220201230210000
52343030000140
6151245030400
722564145436
oct5041544400
91671347470
10679921920
11319886447
1216b855400
13aab2c582
146642cd56
153ea58530
hex2886c900

679921920 has 108 divisors (see below), whose sum is σ = 2352498876. Its totient is φ = 181309440.

The previous prime is 679921903. The next prime is 679921937. The reversal of 679921920 is 29129976.

It is an interprime number because it is at equal distance from previous prime (679921903) and next prime (679921937).

It can be written as a sum of positive squares in 2 ways, for example, as 225720576 + 454201344 = 15024^2 + 21312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17991 + ... + 41030.

It is an arithmetic number, because the mean of its divisors is an integer number (21782397).

Almost surely, 2679921920 is an apocalyptic number.

679921920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

679921920 is an abundant number, since it is smaller than the sum of its proper divisors (1672576956).

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

679921920 is a wasteful number, since it uses less digits than its factorization.

679921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59048 (or 59031 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 679921920 is about 26075.3124621739. The cubic root of 679921920 is about 879.3322758433.

The spelling of 679921920 in words is "six hundred seventy-nine million, nine hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 59021 118042 177063 236084 295105 354126 472168 531189 590210 708252 885315 944336 1062378 1180420 1416504 1770630 1888672 2124756 2360840 2655945 2833008 3541260 3777344 4249512 4721680 5311890 5666016 7082520 7554688 8499024 9443360 10623780 11332032 14165040 15109376 16998048 18886720 21247560 22664064 28330080 33996096 37773440 42495120 45328128 56660160 67992192 75546880 84990240 113320320 135984384 169980480 226640640 339960960 679921920