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990412128 = 253231310987
BaseRepresentation
bin111011000010000…
…111110101100000
32120000122011000200
4323002013311200
54012021142003
6242135545200
733354235626
oct7302076540
92500564020
10990412128
11469075322
1223782b200
1312a2610a4
1495773516
155be3a6a3
hex3b087d60

990412128 has 72 divisors (see below), whose sum is σ = 2825740008. Its totient is φ = 329052672.

The previous prime is 990412127. The next prime is 990412133. The reversal of 990412128 is 821214099.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 990412092 and 990412101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990412121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84651 + ... + 95637.

It is an arithmetic number, because the mean of its divisors is an integer number (39246389).

Almost surely, 2990412128 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 990412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412870004).

990412128 is an abundant number, since it is smaller than the sum of its proper divisors (1835327880).

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

990412128 is a wasteful number, since it uses less digits than its factorization.

990412128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11316 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 990412128 is about 31470.8139074921. The cubic root of 990412128 is about 996.7937737666.

The spelling of 990412128 in words is "nine hundred ninety million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 10016 10987 11268 15024 21974 22536 30048 32961 43948 45072 65922 87896 90144 98883 131844 175792 197766 263688 351584 395532 527376 791064 1054752 1582128 3164256 3438931 6877862 10316793 13755724 20633586 27511448 30950379 41267172 55022896 61900758 82534344 110045792 123801516 165068688 247603032 330137376 495206064 990412128