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999000820 = 22567799437
BaseRepresentation
bin111011100010111…
…000101011110100
32120121210111111101
4323202320223310
54021221011240
6243044015444
733520236556
oct7342705364
92517714441
10999000820
11472a01114
1223a691584
1312bc7a45c
149696b4d6
155ca8539a
hex3b8b8af4

999000820 has 48 divisors (see below), whose sum is σ = 2156394240. Its totient is φ = 388612224.

The previous prime is 999000817. The next prime is 999000841. The reversal of 999000820 is 28000999.

It is a self number, because there is not a number n which added to its sum of digits gives 999000820.

It is a congruent number.

It is an unprimeable number.

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, 101142 + ... + 110578.

It is an arithmetic number, because the mean of its divisors is an integer number (44924880).

Almost surely, 2999000820 is an apocalyptic number.

It is an amenable number.

999000820 is an abundant number, since it is smaller than the sum of its proper divisors (1157393420).

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

999000820 is a wasteful number, since it uses less digits than its factorization.

999000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 999000820 is about 31606.9742303815. The cubic root of 999000820 is about 999.6668290094. Note that the first 3 decimals are identical.

The spelling of 999000820 in words is "nine hundred ninety-nine million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 67 79 134 158 268 316 335 395 670 790 1340 1580 5293 9437 10586 18874 21172 26465 37748 47185 52930 94370 105860 188740 632279 745523 1264558 1491046 2529116 2982092 3161395 3727615 6322790 7455230 12645580 14910460 49950041 99900082 199800164 249750205 499500410 999000820