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680510512 = 241131373371
BaseRepresentation
bin101000100011111…
…100010000110000
31202102111111221001
4220203330100300
52343202314022
6151305411344
722602146443
oct5043742060
91672444831
10680510512
1131a148690
1216ba99b54
13aaca7456
146654365a
153eb22b27
hex288fc430

680510512 has 80 divisors (see below), whose sum is σ = 1525330944. Its totient is φ = 291168000.

The previous prime is 680510507. The next prime is 680510533. The reversal of 680510512 is 215015086.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200187 + ... + 203557.

Almost surely, 2680510512 is an apocalyptic number.

680510512 is a gapful number since it is divisible by the number (62) 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 680510512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762665472).

680510512 is an abundant number, since it is smaller than the sum of its proper divisors (844820432).

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

680510512 is a wasteful number, since it uses less digits than its factorization.

680510512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 680510512 is about 26086.5964050506. The cubic root of 680510512 is about 879.5859415710.

Adding to 680510512 its reverse (215015086), we get a palindrome (895525598).

The spelling of 680510512 in words is "six hundred eighty million, five hundred ten thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 37 44 62 74 88 124 148 176 248 296 341 407 496 592 682 814 1147 1364 1628 2294 2728 3256 3371 4588 5456 6512 6742 9176 12617 13484 18352 25234 26968 37081 50468 53936 74162 100936 104501 124727 148324 201872 209002 249454 296648 418004 498908 593296 836008 997816 1149511 1371997 1672016 1995632 2299022 2743994 3866537 4598044 5487988 7733074 9196088 10975976 15466148 18392176 21951952 30932296 42531907 61864592 85063814 170127628 340255256 680510512