Search a number
-
+
200678268 = 223717891579
BaseRepresentation
bin10111111011000…
…01101101111100
3111222121111211110
423331201231330
5402333201033
631525122020
74654510560
oct1375415574
9458544743
10200678268
11a330660a
1257259310
1332763c4b
141c91b6a0
1512940363
hexbf61b7c

200678268 has 96 divisors (see below), whose sum is σ = 573350400. Its totient is φ = 53323776.

The previous prime is 200678267. The next prime is 200678273. The reversal of 200678268 is 862876002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200678263) 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, 126303 + ... + 127881.

It is an arithmetic number, because the mean of its divisors is an integer number (5972400).

Almost surely, 2200678268 is an apocalyptic number.

200678268 is a gapful number since it is divisible by the number (28) 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 200678268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286675200).

200678268 is an abundant number, since it is smaller than the sum of its proper divisors (372672132).

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

200678268 is a wasteful number, since it uses less digits than its factorization.

200678268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 200678268 is about 14166.0957218282. The cubic root of 200678268 is about 585.4638909424.

The spelling of 200678268 in words is "two hundred million, six hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 89 102 119 178 204 238 267 356 357 476 534 623 714 1068 1246 1428 1513 1579 1869 2492 3026 3158 3738 4539 4737 6052 6316 7476 9078 9474 10591 11053 18156 18948 21182 22106 26843 31773 33159 42364 44212 53686 63546 66318 80529 107372 127092 132636 140531 161058 187901 281062 322116 375802 421593 562124 563703 751604 843186 983717 1127406 1686372 1967434 2254812 2389027 2951151 3934868 4778054 5902302 7167081 9556108 11804604 14334162 16723189 28668324 33446378 50169567 66892756 100339134 200678268