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1990088520 = 233575344701
BaseRepresentation
bin111011010011110…
…0101011101001000
312010200200222020020
41312213211131020
513033430313040
6525250300440
7100213321230
oct16647453510
95120628206
101990088520
11931397a62
12476587720
132593b6b94
1414c438cc0
15b9aa5cd0
hex769e5748

1990088520 has 128 divisors (see below), whose sum is σ = 6952055040. Its totient is φ = 446284800.

The previous prime is 1990088509. The next prime is 1990088563. The reversal of 1990088520 is 258800991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22170 + ... + 66870.

It is an arithmetic number, because the mean of its divisors is an integer number (54312930).

Almost surely, 21990088520 is an apocalyptic number.

1990088520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990088520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476027520).

1990088520 is an abundant number, since it is smaller than the sum of its proper divisors (4961966520).

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

1990088520 is a wasteful number, since it uses less digits than its factorization.

1990088520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44775 (or 44771 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 1990088520 is about 44610.4082025708. The cubic root of 1990088520 is about 1257.8363219217.

The spelling of 1990088520 in words is "one billion, nine hundred ninety million, eighty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2226 2968 3180 3710 4452 5565 6360 7420 8904 11130 14840 22260 44520 44701 89402 134103 178804 223505 268206 312907 357608 447010 536412 625814 670515 894020 938721 1072824 1251628 1341030 1564535 1788040 1877442 2369153 2503256 2682060 3129070 3754884 4693605 4738306 5364120 6258140 7107459 7509768 9387210 9476612 11845765 12516280 14214918 16584071 18774420 18953224 23691530 28429836 33168142 35537295 37548840 47383060 49752213 56859672 66336284 71074590 82920355 94766120 99504426 132672568 142149180 165840710 199008852 248761065 284298360 331681420 398017704 497522130 663362840 995044260 1990088520