Search a number
-
+
669650280 = 2335131972179
BaseRepresentation
bin100111111010100…
…000110101101000
31201200001202111020
4213322200311220
52332412302110
6150240532440
722410635115
oct4772406550
91650052436
10669650280
11314000192
12168321120
13a8974190
1464d1790c
153dbc9d70
hex27ea0d68

669650280 has 128 divisors (see below), whose sum is σ = 2175465600. Its totient is φ = 163924992.

The previous prime is 669650279. The next prime is 669650287. The reversal of 669650280 is 82056966.

669650280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (669650287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306231 + ... + 308409.

It is an arithmetic number, because the mean of its divisors is an integer number (16995825).

Almost surely, 2669650280 is an apocalyptic number.

669650280 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 669650280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087732800).

669650280 is an abundant number, since it is smaller than the sum of its proper divisors (1505815320).

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

669650280 is a wasteful number, since it uses less digits than its factorization.

669650280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 669650280 is about 25877.6018981667. The cubic root of 669650280 is about 874.8817385748.

The spelling of 669650280 in words is "six hundred sixty-nine million, six hundred fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 197 260 312 390 394 520 591 780 788 985 1182 1560 1576 1970 2179 2364 2561 2955 3940 4358 4728 5122 5910 6537 7683 7880 8716 10244 10895 11820 12805 13074 15366 17432 20488 21790 23640 25610 26148 28327 30732 32685 38415 43580 51220 52296 56654 61464 65370 76830 84981 87160 102440 113308 130740 141635 153660 169962 226616 261480 283270 307320 339924 424905 429263 566540 679848 849810 858526 1133080 1287789 1699620 1717052 2146315 2575578 3399240 3434104 4292630 5151156 5580419 6438945 8585260 10302312 11160838 12877890 16741257 17170520 22321676 25755780 27902095 33482514 44643352 51511560 55804190 66965028 83706285 111608380 133930056 167412570 223216760 334825140 669650280