Search a number
-
+
209059704 = 23387569
BaseRepresentation
bin11000111010111…
…11111101111000
3112120101100000000
430131133331320
5412004402304
632424513000
75115656340
oct1435377570
9476340000
10209059704
11a8010717
125a01b760
1334409b89
141da9dd20
1513548939
hexc75ff78

209059704 has 144 divisors (see below), whose sum is σ = 673124400. Its totient is φ = 59626368.

The previous prime is 209059699. The next prime is 209059733. The reversal of 209059704 is 407950902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367132 + ... + 367700.

It is an arithmetic number, because the mean of its divisors is an integer number (4674475).

Almost surely, 2209059704 is an apocalyptic number.

209059704 is a gapful number since it is divisible by the number (24) 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 209059704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336562200).

209059704 is an abundant number, since it is smaller than the sum of its proper divisors (464064696).

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

209059704 is an frugal number, since it uses more digits than its factorization.

209059704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 209059704 is about 14458.8970533717. The cubic root of 209059704 is about 593.5037177070.

The spelling of 209059704 in words is "two hundred nine million, fifty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 569 648 729 756 972 1134 1138 1458 1512 1701 1707 1944 2187 2268 2276 2916 3402 3414 3983 4374 4536 4552 5103 5121 5832 6561 6804 6828 7966 8748 10206 10242 11949 13122 13608 13656 15309 15363 15932 17496 20412 20484 23898 26244 30618 30726 31864 35847 40824 40968 45927 46089 47796 52488 61236 61452 71694 91854 92178 95592 107541 122472 122904 138267 143388 183708 184356 215082 276534 286776 322623 367416 368712 414801 430164 553068 645246 829602 860328 967869 1106136 1244403 1290492 1659204 1935738 2488806 2580984 2903607 3318408 3733209 3871476 4977612 5807214 7466418 7742952 8710821 9955224 11614428 14932836 17421642 23228856 26132463 29865672 34843284 52264926 69686568 104529852 209059704