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689900820 = 223578771873
BaseRepresentation
bin101001000111110…
…000110100010100
31210002011121000020
4221013300310110
52403103311240
6152242545140
723045026440
oct5107606424
91702147006
10689900820
11324481774
121730681b0
13acc1464b
14678a9820
154087a0d0
hex291f0d14

689900820 has 96 divisors (see below), whose sum is σ = 2211379968. Its totient is φ = 157427712.

The previous prime is 689900777. The next prime is 689900833. The reversal of 689900820 is 28009986.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367404 + ... + 369276.

It is an arithmetic number, because the mean of its divisors is an integer number (23035208).

Almost surely, 2689900820 is an apocalyptic number.

689900820 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 689900820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105689984).

689900820 is an abundant number, since it is smaller than the sum of its proper divisors (1521479148).

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

689900820 is a wasteful number, since it uses less digits than its factorization.

689900820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 689900820 is about 26265.9631462469. The cubic root of 689900820 is about 883.6132515828.

The spelling of 689900820 in words is "six hundred eighty-nine million, nine hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 877 1754 1873 2631 3508 3746 4385 5262 5619 6139 7492 8770 9365 10524 11238 12278 13111 13155 17540 18417 18730 22476 24556 26222 26310 28095 30695 36834 37460 39333 52444 52620 56190 61390 65555 73668 78666 92085 112380 122780 131110 157332 184170 196665 262220 368340 393330 786660 1642621 3285242 4927863 6570484 8213105 9855726 11498347 16426210 19711452 22996694 24639315 32852420 34495041 45993388 49278630 57491735 68990082 98557260 114983470 137980164 172475205 229966940 344950410 689900820