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202102140 = 223537591543
BaseRepresentation
bin11000000101111…
…01010101111100
3112002021212000110
430002331111330
5403214232030
632015430020
75002561032
oct1402752574
9462255013
10202102140
11a4099369
1257825310
1332b42086
141cbac552
1512b221b0
hexc0bd57c

202102140 has 96 divisors (see below), whose sum is σ = 591413760. Its totient is φ = 51515136.

The previous prime is 202102123. The next prime is 202102141. The reversal of 202102140 is 41201202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102141) 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, 130209 + ... + 131751.

It is an arithmetic number, because the mean of its divisors is an integer number (6160560).

Almost surely, 2202102140 is an apocalyptic number.

202102140 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 202102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295706880).

202102140 is an abundant number, since it is smaller than the sum of its proper divisors (389311620).

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

202102140 is a wasteful number, since it uses less digits than its factorization.

202102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202102140 is about 14216.2632220988. The cubic root of 202102140 is about 586.8453090326.

Adding to 202102140 its reverse (41201202), we get a palindrome (243303342).

The spelling of 202102140 in words is "two hundred two million, one hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 59 60 74 111 118 148 177 185 222 236 295 354 370 444 555 590 708 740 885 1110 1180 1543 1770 2183 2220 3086 3540 4366 4629 6172 6549 7715 8732 9258 10915 13098 15430 18516 21830 23145 26196 30860 32745 43660 46290 57091 65490 91037 92580 114182 130980 171273 182074 228364 273111 285455 342546 364148 455185 546222 570910 685092 856365 910370 1092444 1141820 1365555 1712730 1820740 2731110 3368369 3425460 5462220 6736738 10105107 13473476 16841845 20210214 33683690 40420428 50525535 67367380 101051070 202102140