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200419076 = 221121353601
BaseRepresentation
bin10111111001000…
…10011100000100
3111222010100021202
423330202130010
5402301402301
631515402032
74652351114
oct1374423404
9458110252
10200419076
11a3149900
1257153318
13326a2c90
141c891044
15128dd66b
hexbf22704

200419076 has 72 divisors (see below), whose sum is σ = 423709272. Its totient is φ = 82368000.

The previous prime is 200419073. The next prime is 200419097. The reversal of 200419076 is 670914002.

200419076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 45914176 + 154504900 = 6776^2 + 12430^2 .

It is not an unprimeable number, because it can be changed into a prime (200419073) 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 23 ways as a sum of consecutive naturals, for example, 333176 + ... + 333776.

It is an arithmetic number, because the mean of its divisors is an integer number (5884851).

Almost surely, 2200419076 is an apocalyptic number.

200419076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

200419076 is an abundant number, since it is smaller than the sum of its proper divisors (223290196).

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

200419076 is a wasteful number, since it uses less digits than its factorization.

200419076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 200419076 is about 14156.9444443354. The cubic root of 200419076 is about 585.2117245658.

The spelling of 200419076 in words is "two hundred million, four hundred nineteen thousand, seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 53 106 121 143 212 242 286 484 572 583 601 689 1166 1202 1378 1573 2332 2404 2756 3146 6292 6413 6611 7579 7813 12826 13222 15158 15626 25652 26444 30316 31252 31853 63706 72721 83369 85943 127412 145442 166738 171886 290884 333476 343772 350383 414089 700766 828178 945373 1401532 1656356 1890746 3781492 3854213 4554979 7708426 9109958 15416852 18219916 50104769 100209538 200419076