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689820840 = 233351933617
BaseRepresentation
bin101001000111011…
…101010010101000
31210002000112022000
4221013131102220
52403043231330
6152241131000
723044244322
oct5107352250
91702015260
10689820840
11324427675
12173029a60
13acbb7117
1467888612
1540861560
hex291dd4a8

689820840 has 128 divisors (see below), whose sum is σ = 2420496000. Its totient is φ = 174265344.

The previous prime is 689820839. The next prime is 689820851. The reversal of 689820840 is 48028986.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 3712 + ... + 37328.

It is an arithmetic number, because the mean of its divisors is an integer number (18910125).

Almost surely, 2689820840 is an apocalyptic number.

689820840 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 689820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210248000).

689820840 is an abundant number, since it is smaller than the sum of its proper divisors (1730675160).

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

689820840 is a wasteful number, since it uses less digits than its factorization.

689820840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33656 (or 33646 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 689820840 is about 26264.4405994112. The cubic root of 689820840 is about 883.5791045881.

The spelling of 689820840 in words is "six hundred eighty-nine million, eight hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 33617 67234 100851 134468 168085 201702 268936 302553 336170 403404 504255 605106 638723 672340 806808 907659 1008510 1210212 1277446 1344680 1512765 1815318 1916169 2017020 2420424 2554892 3025530 3193615 3630636 3832338 4034040 4538295 5109784 5748507 6051060 6387230 7261272 7664676 9076590 9580845 11497014 12102120 12774460 15329352 17245521 18153180 19161690 22994028 25548920 28742535 34491042 36306360 38323380 45988056 57485070 68982084 76646760 86227605 114970140 137964168 172455210 229940280 344910420 689820840