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688903980 = 2235109105337
BaseRepresentation
bin101001000011111…
…101011100101100
31210000021221121020
4221003331130230
52402324411410
6152205334140
723033405262
oct5103753454
91700257536
10688903980
11323960836
12172867350
13ac9559bb
14676ca432
154072ea70
hex290fd72c

688903980 has 48 divisors (see below), whose sum is σ = 1946646240. Its totient is φ = 182020608.

The previous prime is 688903973. The next prime is 688903987. The reversal of 688903980 is 89309886.

688903980 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (688903973) and next prime (688903987).

It is not an unprimeable number, because it can be changed into a prime (688903987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46129 + ... + 59208.

It is an arithmetic number, because the mean of its divisors is an integer number (40555130).

Almost surely, 2688903980 is an apocalyptic number.

688903980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688903980 is an abundant number, since it is smaller than the sum of its proper divisors (1257742260).

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

688903980 is a wasteful number, since it uses less digits than its factorization.

688903980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105458 (or 105456 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 688903980 is about 26246.9803977524. The cubic root of 688903980 is about 883.1874678649.

The spelling of 688903980 in words is "six hundred eighty-eight million, nine hundred three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 105337 210674 316011 421348 526685 632022 1053370 1264044 1580055 2106740 3160110 6320220 11481733 22963466 34445199 45926932 57408665 68890398 114817330 137780796 172225995 229634660 344451990 688903980