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200826740 = 225291811913
BaseRepresentation
bin10111111100001…
…01111101110100
3111222220001111102
423332011331310
5402402423430
631532225232
74655666462
oct1376057564
9458801442
10200826740
11a33a8114
125730b218
13327b66ba
141c959832
151296e345
hexbf85f74

200826740 has 48 divisors (see below), whose sum is σ = 438918480. Its totient is φ = 77091840.

The previous prime is 200826721. The next prime is 200826761. The reversal of 200826740 is 47628002.

It can be written as a sum of positive squares in 8 ways, for example, as 7171684 + 193655056 = 2678^2 + 13916^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104024 + ... + 105936.

It is an arithmetic number, because the mean of its divisors is an integer number (9144135).

Almost surely, 2200826740 is an apocalyptic number.

200826740 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 200826740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219459240).

200826740 is an abundant number, since it is smaller than the sum of its proper divisors (238091740).

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

200826740 is a wasteful number, since it uses less digits than its factorization.

200826740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 200826740 is about 14171.3351523419. The cubic root of 200826740 is about 585.6082406808.

The spelling of 200826740 in words is "two hundred million, eight hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1810 1913 3620 3826 5249 7652 9565 10498 19130 20996 26245 38260 52490 55477 104980 110954 221908 277385 346253 554770 692506 1109540 1385012 1731265 3462530 6925060 10041337 20082674 40165348 50206685 100413370 200826740