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689089920 = 2735358901
BaseRepresentation
bin101001000100101…
…010110110000000
31210000122101122220
4221010222312000
52402401334140
6152213331040
723035111341
oct5104526600
91700571586
10689089920
11323a78502
12172936a80
13ac9bc51c
14677380c8
1540769bd0
hex2912ad80

689089920 has 64 divisors (see below), whose sum is σ = 2196480240. Its totient is φ = 183756800.

The previous prime is 689089901. The next prime is 689089927. The reversal of 689089920 is 29980986.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689089927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177531 + ... + 181370.

Almost surely, 2689089920 is an apocalyptic number.

689089920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

689089920 is an abundant number, since it is smaller than the sum of its proper divisors (1507390320).

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

689089920 is a wasteful number, since it uses less digits than its factorization.

689089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358923 (or 358911 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 689089920 is about 26250.5222805185. The cubic root of 689089920 is about 883.2669202076.

The spelling of 689089920 in words is "six hundred eighty-nine million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 358901 717802 1076703 1435604 1794505 2153406 2871208 3589010 4306812 5383515 5742416 7178020 8613624 10767030 11484832 14356040 17227248 21534060 22969664 28712080 34454496 43068120 45939328 57424160 68908992 86136240 114848320 137817984 172272480 229696640 344544960 689089920