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2417145320 = 235577104729
BaseRepresentation
bin1001000000010010…
…1011010111101000
320020110021201000202
42100010223113220
514422242122240
61035503451332
7113620252622
oct22004532750
96213251022
102417145320
111030463067
125755b6b48
132c6a0c905
1418d043c12
15e2311315
hex9012b5e8

2417145320 has 32 divisors (see below), whose sum is σ = 5448054600. Its totient is φ = 965173248.

The previous prime is 2417145307. The next prime is 2417145343. The reversal of 2417145320 is 235417142.

It can be written as a sum of positive squares in 4 ways, for example, as 2303808004 + 113337316 = 47998^2 + 10646^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29285 + ... + 75444.

Almost surely, 22417145320 is an apocalyptic number.

2417145320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2417145320 is an abundant number, since it is smaller than the sum of its proper divisors (3030909280).

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

2417145320 is a wasteful number, since it uses less digits than its factorization.

2417145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105317 (or 105313 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2417145320 is about 49164.4721318149. The cubic root of 2417145320 is about 1342.0465719596.

The spelling of 2417145320 in words is "two billion, four hundred seventeen million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 577 1154 2308 2885 4616 5770 11540 23080 104729 209458 418916 523645 837832 1047290 2094580 4189160 60428633 120857266 241714532 302143165 483429064 604286330 1208572660 2417145320