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213093036 = 2232134310589
BaseRepresentation
bin11001011001110…
…00101010101100
3112211222020200200
430230320222230
5414022434121
633051153500
75165155332
oct1454705254
9484866620
10213093036
11aa315a52
125b445890
13351bc970
142042db52
1513a93a26
hexcb38aac

213093036 has 72 divisors (see below), whose sum is σ = 593633040. Its totient is φ = 64036224.

The previous prime is 213093017. The next prime is 213093043. The reversal of 213093036 is 630390312.

213093036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 14830 + ... + 25418.

Almost surely, 2213093036 is an apocalyptic number.

213093036 is a gapful number since it is divisible by the number (26) 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 213093036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296816520).

213093036 is an abundant number, since it is smaller than the sum of its proper divisors (380540004).

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

213093036 is a wasteful number, since it uses less digits than its factorization.

213093036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10655 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 213093036 is about 14597.7065321920. The cubic root of 213093036 is about 597.2962007514.

The spelling of 213093036 in words is "two hundred thirteen million, ninety-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 43 52 78 86 117 129 156 172 234 258 387 468 516 559 774 1118 1548 1677 2236 3354 5031 6708 10062 10589 20124 21178 31767 42356 63534 95301 127068 137657 190602 275314 381204 412971 455327 550628 825942 910654 1238913 1365981 1651884 1821308 2477826 2731962 4097943 4955652 5463924 5919251 8195886 11838502 16391772 17757753 23677004 35515506 53273259 71031012 106546518 213093036