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1115562240 = 28335132191
BaseRepresentation
bin100001001111110…
…0010000100000000
32212202010102201000
41002133202010000
54241040442430
6302410212000
736434060022
oct10237420400
92782112630
101115562240
11522784471
12271724000
1314a16c200
14a8230012
1567e0be60
hex427e2100

1115562240 has 432 divisors, whose sum is σ = 4309079040. Its totient is φ = 273162240.

The previous prime is 1115562233. The next prime is 1115562241. The reversal of 1115562240 is 422655111.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×11155622402 = 2488958222627635200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1115562241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840545 + ... + 5840735.

It is an arithmetic number, because the mean of its divisors is an integer number (9974720).

Almost surely, 21115562240 is an apocalyptic number.

1115562240 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 1115562240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154539520).

1115562240 is an abundant number, since it is smaller than the sum of its proper divisors (3193516800).

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

1115562240 is a wasteful number, since it uses less digits than its factorization.

1115562240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1115562240 is about 33400.0335329173. The cubic root of 1115562240 is about 1037.1253951220.

The spelling of 1115562240 in words is "one billion, one hundred fifteen million, five hundred sixty-two thousand, two hundred forty".