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200992480 = 25513711361
BaseRepresentation
bin10111111101011…
…10011011100000
3112000012110211221
423332232123200
5402423224410
631535544424
74660256623
oct1376563340
9460173757
10200992480
11a3500697
125738b114
1332843c80
141c99ddba
15129a34da
hexbfae6e0

200992480 has 96 divisors (see below), whose sum is σ = 518954688. Its totient is φ = 73113600.

The previous prime is 200992459. The next prime is 200992487. The reversal of 200992480 is 84299002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200992487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147000 + ... + 148360.

It is an arithmetic number, because the mean of its divisors is an integer number (5405778).

Almost surely, 2200992480 is an apocalyptic number.

200992480 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 200992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259477344).

200992480 is an abundant number, since it is smaller than the sum of its proper divisors (317962208).

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

200992480 is a wasteful number, since it uses less digits than its factorization.

200992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 200992480 is about 14177.1816663256. The cubic root of 200992480 is about 585.7692949666.

The spelling of 200992480 in words is "two hundred million, nine hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1361 1420 1846 2080 2272 2722 2840 3692 4615 5444 5680 6805 7384 9230 10888 11360 13610 14768 17693 18460 21776 27220 29536 35386 36920 43552 54440 70772 73840 88465 96631 108880 141544 147680 176930 193262 217760 283088 353860 386524 483155 566176 707720 773048 966310 1256203 1415440 1546096 1932620 2512406 2830880 3092192 3865240 5024812 6281015 7730480 10049624 12562030 15460960 20099248 25124060 40198496 50248120 100496240 200992480