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669767760 = 243252932077
BaseRepresentation
bin100111111010111…
…101100001010000
31201200021201122100
4213322331201100
52332430032020
6150243240400
722411634454
oct4772754120
91650251570
10669767760
11314080482
12168379100
13a89b57ac
1464d48664
153dbeea90
hex27ebd850

669767760 has 120 divisors (see below), whose sum is σ = 2326938120. Its totient is φ = 172440576.

The previous prime is 669767737. The next prime is 669767771. The reversal of 669767760 is 67767966.

It can be written as a sum of positive squares in 4 ways, for example, as 273439296 + 396328464 = 16536^2 + 19908^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 669767697 and 669767706.

It is a congruent number.

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, 4842 + ... + 36918.

It is an arithmetic number, because the mean of its divisors is an integer number (19391151).

Almost surely, 2669767760 is an apocalyptic number.

669767760 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 669767760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163469060).

669767760 is an abundant number, since it is smaller than the sum of its proper divisors (1657170360).

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

669767760 is a wasteful number, since it uses less digits than its factorization.

669767760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32125 (or 32116 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 669767760 is about 25879.8717152926. The cubic root of 669767760 is about 874.9328971670.

The spelling of 669767760 in words is "six hundred sixty-nine million, seven hundred sixty-seven thousand, seven hundred sixty".

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 32077 64154 96231 128308 160385 192462 256616 288693 320770 384924 481155 513232 577386 641540 769848 930233 962310 1154772 1283080 1443465 1539696 1860466 1924620 2309544 2566160 2790699 2886930 3720932 3849240 4619088 4651165 5581398 5773860 7441864 7698480 8372097 9302330 11162796 11547720 13953495 14883728 16744194 18604660 22325592 23095440 27906990 33488388 37209320 41860485 44651184 55813980 66976776 74418640 83720970 111627960 133953552 167441940 223255920 334883880 669767760