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200007680 = 213519257
BaseRepresentation
bin10111110101111…
…10000000000000
3111221100102221212
423322332000000
5402200221210
631502505252
74646015525
oct1372760000
9457312855
10200007680
11a2998804
1256b95228
133258a952
141c7c514c
151285b805
hexbebe000

200007680 has 112 divisors (see below), whose sum is σ = 507217680. Its totient is φ = 75497472.

The previous prime is 200007679. The next prime is 200007707. The reversal of 200007680 is 86700002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 778112 + ... + 778368.

Almost surely, 2200007680 is an apocalyptic number.

200007680 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 200007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253608840).

200007680 is an abundant number, since it is smaller than the sum of its proper divisors (307210000).

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

200007680 is an equidigital number, since it uses as much as digits as its factorization.

200007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 200007680 is about 14142.4071501283. The cubic root of 200007680 is about 584.8110330322.

Adding to 200007680 its reverse (86700002), we get a palindrome (286707682).

The spelling of 200007680 in words is "two hundred million, seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 257 304 320 380 512 514 608 640 760 1024 1028 1216 1280 1285 1520 2048 2056 2432 2560 2570 3040 4096 4112 4864 4883 5120 5140 6080 8192 8224 9728 9766 10240 10280 12160 16448 19456 19532 20480 20560 24320 24415 32896 38912 39064 40960 41120 48640 48830 65792 77824 78128 82240 97280 97660 131584 155648 156256 164480 194560 195320 263168 312512 328960 389120 390640 526336 625024 657920 778240 781280 1052672 1250048 1315840 1562560 2105344 2500096 2631680 3125120 5000192 5263360 6250240 10000384 10526720 12500480 20000768 25000960 40001536 50001920 100003840 200007680