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2990765520 = 243254153841
BaseRepresentation
bin1011001001000011…
…0111010111010000
321201102122122000100
42302100313113100
522111113444040
61212434252400
7134054042001
oct26220672720
97642578010
102990765520
1112a5233446
126b5727100
13388800252
142052c11a8
1512786cb30
hexb24375d0

2990765520 has 60 divisors (see below), whose sum is σ = 10043989956. Its totient is φ = 797537280.

The previous prime is 2990765513. The next prime is 2990765521. The reversal of 2990765520 is 255670992.

2990765520 is a `hidden beast` number, since 2 + 9 + 90 + 7 + 6 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2045571984 + 945193536 = 45228^2 + 30744^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990765521) 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, 2076201 + ... + 2077640.

Almost surely, 22990765520 is an apocalyptic number.

2990765520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2990765520 is an abundant number, since it is smaller than the sum of its proper divisors (7053224436).

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

2990765520 is a wasteful number, since it uses less digits than its factorization.

2990765520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153860 (or 4153851 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2990765520 is about 54687.8918957387. The cubic root of 2990765520 is about 1440.7682243470.

The spelling of 2990765520 in words is "two billion, nine hundred ninety million, seven hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4153841 8307682 12461523 16615364 20769205 24923046 33230728 37384569 41538410 49846092 62307615 66461456 74769138 83076820 99692184 124615230 149538276 166153640 186922845 199384368 249230460 299076552 332307280 373845690 498460920 598153104 747691380 996921840 1495382760 2990765520