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990040632 = 233714939551
BaseRepresentation
bin111011000000101…
…101001000111000
32112222221021102120
4323000231020320
54011422300012
6242124001240
733351130560
oct7300551070
92488837376
10990040632
114689411a9
12237690220
1312a160c79
14956b7da0
155bdb558c
hex3b02d238

990040632 has 64 divisors (see below), whose sum is σ = 2847744000. Its totient is φ = 280963200.

The previous prime is 990040631. The next prime is 990040637. The reversal of 990040632 is 236040099.

It is a junction number, because it is equal to n+sod(n) for n = 990040593 and 990040602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990040631) 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 15 ways as a sum of consecutive naturals, for example, 5257 + ... + 44807.

It is an arithmetic number, because the mean of its divisors is an integer number (44496000).

Almost surely, 2990040632 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 990040632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423872000).

990040632 is an abundant number, since it is smaller than the sum of its proper divisors (1857703368).

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

990040632 is a wasteful number, since it uses less digits than its factorization.

990040632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716 (or 39712 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 990040632 is about 31464.9111233450. The cubic root of 990040632 is about 996.6691282786.

The spelling of 990040632 in words is "nine hundred ninety million, forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1788 2086 3129 3576 4172 6258 8344 12516 25032 39551 79102 118653 158204 237306 276857 316408 474612 553714 830571 949224 1107428 1661142 2214856 3322284 5893099 6644568 11786198 17679297 23572396 35358594 41251693 47144792 70717188 82503386 123755079 141434376 165006772 247510158 330013544 495020316 990040632