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687849420 = 223561712647
BaseRepresentation
bin101000111111111…
…011111111001100
31202221022101000110
4220333323333030
52402042140140
6152131000020
723021423616
oct5077737714
91687271013
10687849420
113233004a5
12172439010
13ac6769bb
14674d3db6
15405c2380
hex28ffbfcc

687849420 has 96 divisors (see below), whose sum is σ = 1985872896. Its totient is φ = 177811200.

The previous prime is 687849401. The next prime is 687849433. The reversal of 687849420 is 24948786.

It is a self number, because there is not a number n which added to its sum of digits gives 687849420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258537 + ... + 261183.

It is an arithmetic number, because the mean of its divisors is an integer number (20686176).

Almost surely, 2687849420 is an apocalyptic number.

687849420 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 687849420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992936448).

687849420 is an abundant number, since it is smaller than the sum of its proper divisors (1298023476).

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

687849420 is a wasteful number, since it uses less digits than its factorization.

687849420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 687849420 is about 26226.8835357920. The cubic root of 687849420 is about 882.7365826664.

The spelling of 687849420 in words is "six hundred eighty-seven million, eight hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 71 122 142 183 213 244 284 305 355 366 426 610 710 732 852 915 1065 1220 1420 1830 2130 2647 3660 4260 4331 5294 7941 8662 10588 12993 13235 15882 17324 21655 25986 26470 31764 39705 43310 51972 52940 64965 79410 86620 129930 158820 161467 187937 259860 322934 375874 484401 563811 645868 751748 807335 939685 968802 1127622 1614670 1879370 1937604 2255244 2422005 2819055 3229340 3758740 4844010 5638110 9688020 11276220 11464157 22928314 34392471 45856628 57320785 68784942 114641570 137569884 171962355 229283140 343924710 687849420