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667593990 = 232573134183
BaseRepresentation
bin100111110010101…
…010110100000110
31201112012021210100
4213302222310012
52331401001430
6150124504530
722354312110
oct4762526406
91645167710
10667593990
11312926278
121676ab146
13a840423b
14649403b0
153d920960
hex27caad06

667593990 has 96 divisors (see below), whose sum is σ = 2047758336. Its totient is φ = 147666240.

The previous prime is 667593977. The next prime is 667594001. The reversal of 667593990 is 99395766.

667593990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2439 + ... + 36621.

It is an arithmetic number, because the mean of its divisors is an integer number (21330816).

Almost surely, 2667593990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667593990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023879168).

667593990 is an abundant number, since it is smaller than the sum of its proper divisors (1380164346).

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

667593990 is a wasteful number, since it uses less digits than its factorization.

667593990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34234 (or 34231 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 667593990 is about 25837.8402735213. The cubic root of 667593990 is about 873.9853228513.

The spelling of 667593990 in words is "six hundred sixty-seven million, five hundred ninety-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 34183 68366 102549 170915 205098 239281 307647 341830 478562 512745 615294 717843 1025490 1059673 1196405 1435686 1538235 2119346 2153529 2392810 3076470 3179019 3589215 4307058 5298365 6358038 7178430 7417711 9537057 10596730 10767645 14835422 15895095 19074114 21535290 22253133 31790190 37088555 44506266 47685285 66759399 74177110 95370570 111265665 133518798 222531330 333796995 667593990