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213087942 = 23347113743
BaseRepresentation
bin11001011001101…
…11011011000110
3112211221222201000
430230313123012
5414022303232
633051114130
75165134434
oct1454673306
9484858630
10213087942
11aa312141
125b442946
13351ba552
142042bd54
1513a9227c
hexcb376c6

213087942 has 64 divisors (see below), whose sum is σ = 488540160. Its totient is φ = 68810112.

The previous prime is 213087937. The next prime is 213087943. The reversal of 213087942 is 249780312.

It is a junction number, because it is equal to n+sod(n) for n = 213087897 and 213087906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213087943) 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, 286423 + ... + 287165.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2213087942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213087942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

213087942 is an abundant number, since it is smaller than the sum of its proper divisors (275452218).

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

213087942 is a wasteful number, since it uses less digits than its factorization.

213087942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 213087942 is about 14597.5320516860. The cubic root of 213087942 is about 597.2914412480.

The spelling of 213087942 in words is "two hundred thirteen million, eighty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 113 141 226 282 339 423 678 743 846 1017 1269 1486 2034 2229 2538 3051 4458 5311 6102 6687 10622 13374 15933 20061 31866 34921 40122 47799 69842 83959 95598 104763 143397 167918 209526 251877 286794 314289 503754 628578 755631 942867 1511262 1885734 2266893 3946073 4533786 7892146 11838219 23676438 35514657 71029314 106543971 213087942