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669488640 = 2935179487
BaseRepresentation
bin100111111001111…
…001011000000000
31201122202112202120
4213321321120000
52332342114030
6150233244240
722406362632
oct4771713000
91648675676
10669488640
113139aa7a7
12168263680
13a8918732
1464cb4a52
153db97010
hex27e79600

669488640 has 160 divisors (see below), whose sum is σ = 2156647680. Its totient is φ = 177168384.

The previous prime is 669488597. The next prime is 669488641. The reversal of 669488640 is 46884966.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669488641) 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, 1374477 + ... + 1374963.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2669488640 is an apocalyptic number.

669488640 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 669488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078323840).

669488640 is an abundant number, since it is smaller than the sum of its proper divisors (1487159040).

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

669488640 is a wasteful number, since it uses less digits than its factorization.

669488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 669488640 is about 25874.4785454702. The cubic root of 669488640 is about 874.8113400059.

The spelling of 669488640 in words is "six hundred sixty-nine million, four hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 256 320 358 384 480 487 512 537 640 716 768 895 960 974 1074 1280 1432 1461 1536 1790 1920 1948 2148 2435 2560 2685 2864 2922 3580 3840 3896 4296 4870 5370 5728 5844 7160 7305 7680 7792 8592 9740 10740 11456 11688 14320 14610 15584 17184 19480 21480 22912 23376 28640 29220 31168 34368 38960 42960 45824 46752 57280 58440 62336 68736 77920 85920 87173 91648 93504 114560 116880 124672 137472 155840 171840 174346 187008 229120 233760 249344 261519 274944 311680 343680 348692 374016 435865 458240 467520 523038 623360 687360 697384 748032 871730 935040 1046076 1246720 1307595 1374720 1394768 1743460 1870080 2092152 2615190 2789536 3486920 3740160 4184304 5230380 5579072 6973840 8368608 10460760 11158144 13947680 16737216 20921520 22316288 27895360 33474432 41843040 44632576 55790720 66948864 83686080 111581440 133897728 167372160 223162880 334744320 669488640