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2120330040 = 233517669417
BaseRepresentation
bin111111001100001…
…1010101100111000
312110202202221000020
41332120122230320
513320301030130
6550222010440
7103354336143
oct17630325470
95422687006
102120330040
11998964384
124b2116a20
1327a38857a
1416185d05a
15c6230e10
hex7e61ab38

2120330040 has 32 divisors (see below), whose sum is σ = 6360990480. Its totient is φ = 565421312.

The previous prime is 2120329979. The next prime is 2120330053. The reversal of 2120330040 is 400330212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8834589 + ... + 8834828.

Almost surely, 22120330040 is an apocalyptic number.

2120330040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120330040 is an abundant number, since it is smaller than the sum of its proper divisors (4240660440).

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

2120330040 is a wasteful number, since it uses less digits than its factorization.

2120330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17669431 (or 17669427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2120330040 is about 46047.0415987824. The cubic root of 2120330040 is about 1284.6983177490.

Adding to 2120330040 its reverse (400330212), we get a palindrome (2520660252).

The spelling of 2120330040 in words is "two billion, one hundred twenty million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17669417 35338834 53008251 70677668 88347085 106016502 141355336 176694170 212033004 265041255 353388340 424066008 530082510 706776680 1060165020 2120330040