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669391920 = 243252932059
BaseRepresentation
bin100111111001100…
…001110000110000
31201122120122002100
4213321201300300
52332331020140
6150231220400
722405510641
oct4771416060
91648518070
10669391920
1131394406a
12168217700
13a88b36c2
1464c8b6c8
153db78530
hex27e61c30

669391920 has 120 divisors (see below), whose sum is σ = 2325632400. Its totient is φ = 172343808.

The previous prime is 669391913. The next prime is 669391939. The reversal of 669391920 is 29193966.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6693919202 = 896171085122572800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 4851 + ... + 36909.

It is an arithmetic number, because the mean of its divisors is an integer number (19380270).

Almost surely, 2669391920 is an apocalyptic number.

669391920 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 669391920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162816200).

669391920 is an abundant number, since it is smaller than the sum of its proper divisors (1656240480).

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

669391920 is a wasteful number, since it uses less digits than its factorization.

669391920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32107 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 669391920 is about 25872.6094547883. The cubic root of 669391920 is about 874.7692104249.

The spelling of 669391920 in words is "six hundred sixty-nine million, three hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 32059 64118 96177 128236 160295 192354 256472 288531 320590 384708 480885 512944 577062 641180 769416 929711 961770 1154124 1282360 1442655 1538832 1859422 1923540 2308248 2564720 2789133 2885310 3718844 3847080 4616496 4648555 5578266 5770620 7437688 7694160 8367399 9297110 11156532 11541240 13945665 14875376 16734798 18594220 22313064 23082480 27891330 33469596 37188440 41836995 44626128 55782660 66939192 74376880 83673990 111565320 133878384 167347980 223130640 334695960 669391920