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202105140 = 2235231371069
BaseRepresentation
bin11000000101111…
…10000100110100
3112002022000010120
430002332010310
5403214331030
632015451540
75002602546
oct1402760464
9462260116
10202105140
11a40a0646
1257826bb0
1332b43553
141cbad696
1512b23010
hexc0be134

202105140 has 96 divisors (see below), whose sum is σ = 595365120. Its totient is φ = 51127296.

The previous prime is 202105093. The next prime is 202105159. The reversal of 202105140 is 41501202.

It is a super-2 number, since 2×2021051402 = 81692975228839200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188526 + ... + 189594.

It is an arithmetic number, because the mean of its divisors is an integer number (6201720).

Almost surely, 2202105140 is an apocalyptic number.

202105140 is a gapful number since it is divisible by the number (20) 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 202105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297682560).

202105140 is an abundant number, since it is smaller than the sum of its proper divisors (393259980).

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

202105140 is a wasteful number, since it uses less digits than its factorization.

202105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 202105140 is about 14216.3687346664. The cubic root of 202105140 is about 586.8482127248.

Adding to 202105140 its reverse (41501202), we get a palindrome (243606342).

The spelling of 202105140 in words is "two hundred two million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1069 1370 1380 1644 2055 2138 2740 3151 3207 4110 4276 5345 6302 6414 8220 9453 10690 12604 12828 15755 16035 18906 21380 24587 31510 32070 37812 47265 49174 63020 64140 73761 94530 98348 122935 146453 147522 189060 245870 292906 295044 368805 439359 491740 585812 732265 737610 878718 1464530 1475220 1757436 2196795 2929060 3368419 4393590 6736838 8787180 10105257 13473676 16842095 20210514 33684190 40421028 50526285 67368380 101052570 202105140