Search a number
-
+
213706818 = 232134367317
BaseRepresentation
bin11001011110011…
…10100001000010
3112220010102122100
430233032201002
5414202104233
633112251230
75203322643
oct1457164102
9486112570
10213706818
11aa6a5106
125b6a0b16
1335376150
142054d6ca
1513b65813
hexcbce842

213706818 has 96 divisors (see below), whose sum is σ = 519494976. Its totient is φ = 63068544.

The previous prime is 213706807. The next prime is 213706849. The reversal of 213706818 is 818607312.

213706818 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673996 + ... + 674312.

It is an arithmetic number, because the mean of its divisors is an integer number (5411406).

Almost surely, 2213706818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213706818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259747488).

213706818 is an abundant number, since it is smaller than the sum of its proper divisors (305788158).

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

213706818 is a wasteful number, since it uses less digits than its factorization.

213706818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 213706818 is about 14618.7146493801. The cubic root of 213706818 is about 597.8691245754.

The spelling of 213706818 in words is "two hundred thirteen million, seven hundred six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 67 78 86 117 129 134 201 234 258 317 387 402 559 603 634 774 871 951 1118 1206 1677 1742 1902 2613 2853 2881 3354 4121 5031 5226 5706 5762 7839 8242 8643 10062 12363 13631 15678 17286 21239 24726 25929 27262 37089 37453 40893 42478 51858 63717 74178 74906 81786 112359 122679 127434 177203 191151 224718 245358 276107 337077 354406 382302 531609 552214 674154 828321 913277 1063218 1594827 1656642 1826554 2484963 2739831 3189654 4969926 5479662 8219493 11872601 16438986 23745202 35617803 71235606 106853409 213706818