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517134240 = 2533573349
BaseRepresentation
bin11110110100101…
…101011110100000
31100001002010211000
4132310231132200
52024341243430
6123151552000
715546366000
oct3664553640
91301063730
10517134240
112459aa677
1212522b600
13831a3cbc
144c976000
15305eee60
hex1ed2d7a0

517134240 has 384 divisors, whose sum is σ = 2116800000. Its totient is φ = 117863424.

The previous prime is 517134227. The next prime is 517134269. The reversal of 517134240 is 42431715.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1481586 + ... + 1481934.

It is an arithmetic number, because the mean of its divisors is an integer number (5512500).

Almost surely, 2517134240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400000).

517134240 is an abundant number, since it is smaller than the sum of its proper divisors (1599665760).

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

517134240 is a wasteful number, since it uses less digits than its factorization.

517134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 517134240 is about 22740.5857444350. The cubic root of 517134240 is about 802.6651943967.

Adding to 517134240 its reverse (42431715), we get a palindrome (559565955).

The spelling of 517134240 in words is "five hundred seventeen million, one hundred thirty-four thousand, two hundred forty".