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669168480 = 25353144971
BaseRepresentation
bin100111111000101…
…011001101100000
31201122011021120210
4213320223031200
52332301342410
6150222334120
722403560341
oct4770531540
91648137523
10669168480
11313801202
1216812a340
13a8835aa6
1464c300c8
153db32220
hex27e2b360

669168480 has 96 divisors (see below), whose sum is σ = 2175925248. Its totient is φ = 172684800.

The previous prime is 669168427. The next prime is 669168491. The reversal of 669168480 is 84861966.

669168480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7606 + ... + 37365.

It is an arithmetic number, because the mean of its divisors is an integer number (22665888).

Almost surely, 2669168480 is an apocalyptic number.

669168480 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 669168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087962624).

669168480 is an abundant number, since it is smaller than the sum of its proper divisors (1506756768).

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

669168480 is a wasteful number, since it uses less digits than its factorization.

669168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45020 (or 45012 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 669168480 is about 25868.2910142901. The cubic root of 669168480 is about 874.6718682560.

The spelling of 669168480 in words is "six hundred sixty-nine million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 44971 89942 134913 179884 224855 269826 359768 449710 539652 674565 719536 899420 1079304 1349130 1394101 1439072 1798840 2158608 2698260 2788202 3597680 4182303 4317216 5396520 5576404 6970505 7195360 8364606 10793040 11152808 13941010 16729212 20911515 21586080 22305616 27882020 33458424 41823030 44611232 55764040 66916848 83646060 111528080 133833696 167292120 223056160 334584240 669168480