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2440106152 = 2311176472521
BaseRepresentation
bin1001000101110001…
…0001000010101000
320022001111020100221
42101130101002220
514444131344102
61042043535424
7114316363051
oct22134210250
96261436327
102440106152
111042415960
1258122a574
132cb6bb8c3
141920dd728
15e4349637
hex917110a8

2440106152 has 64 divisors (see below), whose sum is σ = 5294989440. Its totient is φ = 1041868800.

The previous prime is 2440106143. The next prime is 2440106161. The reversal of 2440106152 is 2516010442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2440106143) and next prime (2440106161).

It is an unprimeable number.

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, 966652 + ... + 969172.

It is an arithmetic number, because the mean of its divisors is an integer number (82734210).

Almost surely, 22440106152 is an apocalyptic number.

2440106152 is a gapful number since it is divisible by the number (22) 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 2440106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647494720).

2440106152 is an abundant number, since it is smaller than the sum of its proper divisors (2854883288).

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

2440106152 is a wasteful number, since it uses less digits than its factorization.

2440106152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2440106152 is about 49397.4306214402. The cubic root of 2440106152 is about 1346.2826221919.

Adding to 2440106152 its reverse (2516010442), we get a palindrome (4956116594).

The spelling of 2440106152 in words is "two billion, four hundred forty million, one hundred six thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 647 748 1294 1496 2521 2588 5042 5176 7117 10084 10999 14234 20168 21998 27731 28468 42857 43996 55462 56936 85714 87992 110924 120989 171428 221848 241978 342856 471427 483956 942854 967912 1631087 1885708 3262174 3771416 6524348 13048696 17941957 27728479 35883914 55456958 71767828 110913916 143535656 221827832 305013269 610026538 1220053076 2440106152