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200500920 = 23345193257
BaseRepresentation
bin10111111001101…
…10011010111000
3111222021111120000
423330312122320
5402312012140
631521233000
74653141534
oct1374663270
9458244500
10200500920
11a31a5344
1257192760
13327012c9
141c8b2bc4
1512907a30
hexbf366b8

200500920 has 160 divisors (see below), whose sum is σ = 709592400. Its totient is φ = 50637312.

The previous prime is 200500897. The next prime is 200500957. The reversal of 200500920 is 29005002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200500893 and 200500902.

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 39 ways as a sum of consecutive naturals, for example, 59932 + ... + 63188.

Almost surely, 2200500920 is an apocalyptic number.

200500920 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 200500920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354796200).

200500920 is an abundant number, since it is smaller than the sum of its proper divisors (509091480).

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

200500920 is a wasteful number, since it uses less digits than its factorization.

200500920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 200500920 is about 14159.8347447984. The cubic root of 200500920 is about 585.2913735878.

Adding to 200500920 its reverse (29005002), we get a palindrome (229505922).

The spelling of 200500920 in words is "two hundred million, five hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3257 3420 4104 5130 6156 6514 6840 7695 9771 10260 12312 13028 15390 16285 19542 20520 26056 29313 30780 32570 39084 48855 58626 61560 61883 65140 78168 87939 97710 117252 123766 130280 146565 175878 185649 195420 234504 247532 263817 293130 309415 351756 371298 390840 439695 495064 527634 556947 586260 618830 703512 742596 879390 928245 1055268 1113894 1172520 1237660 1319085 1485192 1670841 1758780 1856490 2110536 2227788 2475320 2638170 2784735 3341682 3517560 3712980 4455576 5012523 5276340 5569470 6683364 7425960 8354205 10025046 10552680 11138940 13366728 16708410 20050092 22277880 25062615 33416820 40100184 50125230 66833640 100250460 200500920