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2429780136 = 233725215737
BaseRepresentation
bin1001000011010011…
…1000000010101000
320021100001121201220
42100310320002220
514434010431021
61041034342040
7114132535050
oct22064700250
96240047656
102429780136
111037602863
1257988a920
132c9514834
141909b2560
15e34a9cc6
hex90d380a8

2429780136 has 64 divisors (see below), whose sum is σ = 6946193280. Its totient is φ = 693826560.

The previous prime is 2429780083. The next prime is 2429780137. The reversal of 2429780136 is 6310879242.

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

It is not an unprimeable number, because it can be changed into a prime (2429780137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420660 + ... + 426396.

It is an arithmetic number, because the mean of its divisors is an integer number (108534270).

Almost surely, 22429780136 is an apocalyptic number.

It is an amenable number.

2429780136 is an abundant number, since it is smaller than the sum of its proper divisors (4516413144).

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

2429780136 is a wasteful number, since it uses less digits than its factorization.

2429780136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2429780136 is about 49292.8000421968. The cubic root of 2429780136 is about 1344.3808754367.

The spelling of 2429780136 in words is "two billion, four hundred twenty-nine million, seven hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2521 5042 5737 7563 10084 11474 15126 17211 17647 20168 22948 30252 34422 35294 40159 45896 52941 60504 68844 70588 80318 105882 120477 137688 141176 160636 211764 240954 321272 423528 481908 963816 14462977 28925954 43388931 57851908 86777862 101240839 115703816 173555724 202481678 303722517 347111448 404963356 607445034 809926712 1214890068 2429780136