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990422940 = 2235134672719
BaseRepresentation
bin111011000010001…
…010011110011100
32120000122200212010
4323002022132130
54012022013230
6242140111220
733354312303
oct7302123634
92500580763
10990422940
11469082461
12237835510
1312a265ca0
149577743a
155be3d9b0
hex3b08a79c

990422940 has 96 divisors (see below), whose sum is σ = 2994001920. Its totient is φ = 243184896.

The previous prime is 990422929. The next prime is 990422947. The reversal of 990422940 is 49224099.

990422940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990422947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362901 + ... + 365619.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 2990422940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990422940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

990422940 is an abundant number, since it is smaller than the sum of its proper divisors (2003578980).

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

990422940 is a wasteful number, since it uses less digits than its factorization.

990422940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 990422940 is about 31470.9856852308. The cubic root of 990422940 is about 996.7974009755.

The spelling of 990422940 in words is "nine hundred ninety million, four hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 467 780 934 1401 1868 2335 2719 2802 4670 5438 5604 6071 7005 8157 9340 10876 12142 13595 14010 16314 18213 24284 27190 28020 30355 32628 35347 36426 40785 54380 60710 70694 72852 81570 91065 106041 121420 141388 163140 176735 182130 212082 353470 364260 424164 530205 706940 1060410 1269773 2120820 2539546 3809319 5079092 6348865 7618638 12697730 15237276 16507049 19046595 25395460 33014098 38093190 49521147 66028196 76186380 82535245 99042294 165070490 198084588 247605735 330140980 495211470 990422940