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1117356240 = 2435711134651
BaseRepresentation
bin100001010011001…
…1000000011010000
32212212111120121110
41002212120003100
54242020344430
6302512453320
736455241240
oct10246300320
92785446543
101117356240
1152379a310
1227224a240
1314a649950
14a8579b20
15681637b0
hex429980d0

1117356240 has 320 divisors, whose sum is σ = 4651702272. Its totient is φ = 214272000.

The previous prime is 1117356217. The next prime is 1117356241. The reversal of 1117356240 is 426537111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1117356198 and 1117356207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117356241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237915 + ... + 242565.

Almost surely, 21117356240 is an apocalyptic number.

1117356240 is a gapful number since it is divisible by the number (10) 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 1117356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325851136).

1117356240 is an abundant number, since it is smaller than the sum of its proper divisors (3534346032).

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

1117356240 is a wasteful number, since it uses less digits than its factorization.

1117356240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1117356240 is about 33426.8790047770. The cubic root of 1117356240 is about 1037.6810510957.

The spelling of 1117356240 in words is "one billion, one hundred seventeen million, three hundred fifty-six thousand, two hundred forty".