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200675880 = 23345241257
BaseRepresentation
bin10111111011000…
…01001000101000
3111222121101120000
423331201020220
5402333112010
631525103000
74654500606
oct1375411050
9458541500
10200675880
11a3304839
1257257a60
1332762b32
141c91a876
151293e7c0
hexbf61228

200675880 has 160 divisors (see below), whose sum is σ = 679928040. Its totient is φ = 53084160.

The previous prime is 200675863. The next prime is 200675903. The reversal of 200675880 is 88576002.

It can be written as a sum of positive squares in 4 ways, for example, as 200675556 + 324 = 14166^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780712 + ... + 780968.

Almost surely, 2200675880 is an apocalyptic number.

200675880 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 200675880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339964020).

200675880 is an abundant number, since it is smaller than the sum of its proper divisors (479252160).

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

200675880 is a wasteful number, since it uses less digits than its factorization.

200675880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 200675880 is about 14166.0114358277. The cubic root of 200675880 is about 585.4615686625.

The spelling of 200675880 in words is "two hundred million, six hundred seventy-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 241 257 270 324 360 405 482 514 540 648 723 771 810 964 1028 1080 1205 1285 1446 1542 1620 1928 2056 2169 2313 2410 2570 2892 3084 3240 3615 3855 4338 4626 4820 5140 5784 6168 6507 6939 7230 7710 8676 9252 9640 10280 10845 11565 13014 13878 14460 15420 17352 18504 19521 20817 21690 23130 26028 27756 28920 30840 32535 34695 39042 41634 43380 46260 52056 55512 61937 65070 69390 78084 83268 86760 92520 97605 104085 123874 130140 138780 156168 166536 185811 195210 208170 247748 260280 277560 309685 371622 390420 416340 495496 557433 619370 743244 780840 832680 929055 1114866 1238740 1486488 1672299 1858110 2229732 2477480 2787165 3344598 3716220 4459464 5016897 5574330 6689196 7432440 8361495 10033794 11148660 13378392 16722990 20067588 22297320 25084485 33445980 40135176 50168970 66891960 100337940 200675880