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990888066 = 23472921039
BaseRepresentation
bin111011000011111…
…100000010000010
32120001112022220000
4323003330002002
54012131404231
6242154100430
733361260330
oct7303740202
92501468800
10990888066
1146936a963
12237a1a716
1312a3998cc
1495858b50
155bed16e6
hex3b0fc082

990888066 has 120 divisors (see below), whose sum is σ = 2630559360. Its totient is φ = 273085344.

The previous prime is 990888023. The next prime is 990888071. The reversal of 990888066 is 660888099.

It is a Harshad number since it is a multiple of its sum of digits (54).

990888066 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 953175 + ... + 954213.

It is an arithmetic number, because the mean of its divisors is an integer number (21921328).

Almost surely, 2990888066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990888066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315279680).

990888066 is an abundant number, since it is smaller than the sum of its proper divisors (1639671294).

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

990888066 is a wasteful number, since it uses less digits than its factorization.

990888066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 990888066 is about 31478.3745768424. The cubic root of 990888066 is about 996.9534164210.

The spelling of 990888066 in words is "nine hundred ninety million, eight hundred eighty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 81 87 126 162 174 189 203 261 378 406 522 567 609 783 841 1039 1134 1218 1566 1682 1827 2078 2349 2523 3117 3654 4698 5046 5481 5887 6234 7273 7569 9351 10962 11774 14546 15138 16443 17661 18702 21819 22707 28053 30131 32886 35322 43638 45414 52983 56106 60262 65457 68121 84159 90393 105966 130914 136242 158949 168318 180786 196371 210917 271179 317898 392742 421834 476847 542358 589113 632751 813537 873799 953694 1178226 1265502 1627074 1747598 1898253 2440611 2621397 3796506 4881222 5242794 5694759 6116593 7864191 11389518 12233186 15728382 17084277 18349779 23592573 34168554 36699558 47185146 55049337 70777719 110098674 141555438 165148011 330296022 495444033 990888066