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990045180 = 22355203713
BaseRepresentation
bin111011000000101…
…110001111111100
32112222221111200000
4323000232033330
54011422421210
6242124034300
733351150045
oct7300561774
92488844600
10990045180
11468944663
12237692990
1312a163067
14956b98cc
155bdb6ac0
hex3b02e3fc

990045180 has 72 divisors (see below), whose sum is σ = 3114379632. Its totient is φ = 264010752.

The previous prime is 990045169. The next prime is 990045187. The reversal of 990045180 is 81540099.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990045187) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96997 + ... + 106716.

Almost surely, 2990045180 is an apocalyptic number.

990045180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

990045180 is an abundant number, since it is smaller than the sum of its proper divisors (2124334452).

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

990045180 is a wasteful number, since it uses less digits than its factorization.

990045180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203737 (or 203723 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 990045180 is about 31464.9833942432. The cubic root of 990045180 is about 996.6706544261.

The spelling of 990045180 in words is "nine hundred ninety million, forty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 203713 407426 611139 814852 1018565 1222278 1833417 2037130 2444556 3055695 3666834 4074260 5500251 6111390 7333668 9167085 11000502 12222780 16500753 18334170 22001004 27501255 33001506 36668340 49502259 55002510 66003012 82503765 99004518 110005020 165007530 198009036 247511295 330015060 495022590 990045180