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999000990 = 2325132929443
BaseRepresentation
bin111011100010111…
…000101110011110
32120121210111201200
4323202320232132
54021221012430
6243044020330
733520240221
oct7342705636
92517714650
10999000990
11472a01259
1223a6916a6
1312bc7a560
149696b5b8
155ca85460
hex3b8b8b9e

999000990 has 96 divisors (see below), whose sum is σ = 2893756320. Its totient is φ = 237420288.

The previous prime is 999000967. The next prime is 999000991. The reversal of 999000990 is 99000999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999000991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19209 + ... + 48651.

It is an arithmetic number, because the mean of its divisors is an integer number (30143295).

Almost surely, 2999000990 is an apocalyptic number.

999000990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 999000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446878160).

999000990 is an abundant number, since it is smaller than the sum of its proper divisors (1894755330).

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

999000990 is a wasteful number, since it uses less digits than its factorization.

999000990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29498 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 999000990 is about 31606.9769196613. The cubic root of 999000990 is about 999.6668857139. Note that the first 3 decimals are identical.

The spelling of 999000990 in words is "nine hundred ninety-nine million, nine hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6786 11310 16965 29443 33930 58886 88329 147215 176658 264987 294430 382759 441645 529974 765518 853847 883290 1148277 1324935 1707694 1913795 2296554 2561541 2649870 3444831 3827590 4269235 5123082 5741385 6889662 7684623 8538470 11100011 11482770 12807705 15369246 17224155 22200022 25615410 33300033 34448310 38423115 55500055 66600066 76846230 99900099 111000110 166500165 199800198 333000330 499500495 999000990