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200141040 = 243511471613
BaseRepresentation
bin10111110110111…
…10100011110000
3111221121012220010
423323132203300
5402214003130
631505414520
74650112401
oct1373364360
9457535803
10200141040
11a2a79a20
125703a440
1332606568
141c81b9a8
15128860b0
hexbede8f0

200141040 has 160 divisors (see below), whose sum is σ = 691670016. Its totient is φ = 47457280.

The previous prime is 200141033. The next prime is 200141057. The reversal of 200141040 is 40141002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123274 + ... + 124886.

Almost surely, 2200141040 is an apocalyptic number.

200141040 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 200141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345835008).

200141040 is an abundant number, since it is smaller than the sum of its proper divisors (491528976).

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

200141040 is a wasteful number, since it uses less digits than its factorization.

200141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

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

The square root of 200141040 is about 14147.1212619388. The cubic root of 200141040 is about 584.9409831617.

Adding to 200141040 its reverse (40141002), we get a palindrome (240282042).

The spelling of 200141040 in words is "two hundred million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 120 132 141 165 176 188 220 235 240 264 282 330 376 440 470 517 528 564 660 705 752 880 940 1034 1128 1320 1410 1551 1613 1880 2068 2256 2585 2640 2820 3102 3226 3760 4136 4839 5170 5640 6204 6452 7755 8065 8272 9678 10340 11280 12408 12904 15510 16130 17743 19356 20680 24195 24816 25808 31020 32260 35486 38712 41360 48390 53229 62040 64520 70972 75811 77424 88715 96780 106458 124080 129040 141944 151622 177430 193560 212916 227433 266145 283888 303244 354860 379055 387120 425832 454866 532290 606488 709720 758110 833921 851664 909732 1064580 1137165 1212976 1419440 1516220 1667842 1819464 2129160 2274330 2501763 3032440 3335684 3638928 4169605 4258320 4548660 5003526 6064880 6671368 8339210 9097320 10007052 12508815 13342736 16678420 18194640 20014104 25017630 33356840 40028208 50035260 66713680 100070520 200141040