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200427696 = 2434722093
BaseRepresentation
bin10111111001001…
…00100010110000
3111222010210010000
423330210202300
5402302141241
631515510000
74652415210
oct1374444260
9458123100
10200427696
11a3155327
1257158300
13326a6b91
141c894240
15128e0eb6
hexbf248b0

200427696 has 100 divisors (see below), whose sum is σ = 662996752. Its totient is φ = 57262464.

The previous prime is 200427691. The next prime is 200427697. The reversal of 200427696 is 696724002.

It is a happy number.

It is a super-2 number, since 2×2004276962 = 80342522647736832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200427696.

It is not an unprimeable number, because it can be changed into a prime (200427691) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1975 + ... + 20118.

Almost surely, 2200427696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331498376).

200427696 is an abundant number, since it is smaller than the sum of its proper divisors (462569056).

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

200427696 is a wasteful number, since it uses less digits than its factorization.

200427696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 200427696 is about 14157.2488852884. The cubic root of 200427696 is about 585.2201144072.

The spelling of 200427696 in words is "two hundred million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 22093 44186 66279 88372 132558 154651 176744 198837 265116 309302 353488 397674 463953 530232 596511 618604 795348 927906 1060464 1193022 1237208 1391859 1590696 1789533 1855812 2386044 2474416 2783718 3181392 3579066 3711624 4175577 4772088 5567436 7158132 7423248 8351154 9544176 11134872 12526731 14316264 16702308 22269744 25053462 28632528 33404616 50106924 66809232 100213848 200427696