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768721920 = 2103550047
BaseRepresentation
bin101101110100011…
…100010000000000
31222120111010020020
4231310130100000
53033243100140
6204140213440
725023012531
oct5564342000
91876433206
10768721920
11364a1817a
1219553a280
13c3351255
1474146688
15477496d0
hex2dd1c400

768721920 has 88 divisors (see below), whose sum is σ = 2458758144. Its totient is φ = 204988416.

The previous prime is 768721913. The next prime is 768721951. The reversal of 768721920 is 29127867.

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 7 ways as a sum of consecutive naturals, for example, 9664 + ... + 40383.

Almost surely, 2768721920 is an apocalyptic number.

It is an amenable number.

768721920 is an abundant number, since it is smaller than the sum of its proper divisors (1690036224).

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

768721920 is a wasteful number, since it uses less digits than its factorization.

768721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50075 (or 50057 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 768721920 is about 27725.8348837325. The cubic root of 768721920 is about 916.0582458847.

The spelling of 768721920 in words is "seven hundred sixty-eight million, seven hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 50047 100094 150141 200188 250235 300282 400376 500470 600564 750705 800752 1000940 1201128 1501410 1601504 2001880 2402256 3002820 3203008 4003760 4804512 6005640 6406016 8007520 9609024 12011280 12812032 16015040 19218048 24022560 25624064 32030080 38436096 48045120 51248128 64060160 76872192 96090240 128120320 153744384 192180480 256240640 384360960 768721920