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667397520 = 243251078663
BaseRepresentation
bin100111110001111…
…010110110010000
31201111211022021200
4213301322312100
52331323210040
6150120351200
722352533236
oct4761726620
91644738250
10667397520
113128016a9
12167615500
13a836599a
14648cc956
153d8d2630
hex27c7ad90

667397520 has 120 divisors (see below), whose sum is σ = 2262551616. Its totient is φ = 176289024.

The previous prime is 667397491. The next prime is 667397531. The reversal of 667397520 is 25793766.

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

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, 72709 + ... + 81371.

Almost surely, 2667397520 is an apocalyptic number.

667397520 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 667397520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131275808).

667397520 is an abundant number, since it is smaller than the sum of its proper divisors (1595154096).

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

667397520 is a wasteful number, since it uses less digits than its factorization.

667397520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 667397520 is about 25834.0380118943. The cubic root of 667397520 is about 873.8995777496.

The spelling of 667397520 in words is "six hundred sixty-seven million, three hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 107 120 144 180 214 240 321 360 428 535 642 720 856 963 1070 1284 1605 1712 1926 2140 2568 3210 3852 4280 4815 5136 6420 7704 8560 8663 9630 12840 15408 17326 19260 25680 25989 34652 38520 43315 51978 69304 77040 77967 86630 103956 129945 138608 155934 173260 207912 259890 311868 346520 389835 415824 519780 623736 693040 779670 926941 1039560 1247472 1559340 1853882 2079120 2780823 3118680 3707764 4634705 5561646 6237360 7415528 8342469 9269410 11123292 13904115 14831056 16684938 18538820 22246584 27808230 33369876 37077640 41712345 44493168 55616460 66739752 74155280 83424690 111232920 133479504 166849380 222465840 333698760 667397520