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200788380 = 2232513531619
BaseRepresentation
bin10111111011111…
…00100110011100
3111222211002212200
423331330212130
5402400212010
631531331500
74655446602
oct1375744634
9458732780
10200788380
11a3381311
12572b0b90
13327a20c0
141c949872
1512962cc0
hexbf7c99c

200788380 has 144 divisors (see below), whose sum is σ = 668697120. Its totient is φ = 48462336.

The previous prime is 200788349. The next prime is 200788429. The reversal of 200788380 is 83887002.

200788380 is a `hidden beast` number, since 200 + 78 + 8 + 380 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123211 + ... + 124829.

It is an arithmetic number, because the mean of its divisors is an integer number (4643730).

Almost surely, 2200788380 is an apocalyptic number.

200788380 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 200788380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334348560).

200788380 is an abundant number, since it is smaller than the sum of its proper divisors (467908740).

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

200788380 is a wasteful number, since it uses less digits than its factorization.

200788380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 200788380 is about 14169.9816513643. The cubic root of 200788380 is about 585.5709525478.

The spelling of 200788380 in words is "two hundred million, seven hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1619 1908 2067 2340 2385 2756 3180 3238 3445 4134 4770 4857 6201 6476 6890 8095 8268 9540 9714 10335 12402 13780 14571 16190 19428 20670 21047 24285 24804 29142 31005 32380 41340 42094 48570 58284 62010 63141 72855 84188 85807 97140 105235 124020 126282 145710 171614 189423 210470 252564 257421 291420 315705 343228 378846 420940 429035 514842 631410 757692 772263 858070 947115 1029684 1115491 1262820 1287105 1544526 1716140 1894230 2230982 2574210 3089052 3346473 3788460 3861315 4461964 5148420 5577455 6692946 7722630 10039419 11154910 13385892 15445260 16732365 20078838 22309820 33464730 40157676 50197095 66929460 100394190 200788380