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1115417420 = 2251319435989
BaseRepresentation
bin100001001111011…
…1110101101001100
32212201212002001022
41002132332231030
54241021324140
6302403133312
736432614555
oct10236765514
92781762038
101115417420
11522695687
12271674238
1314a11b310
14a81d332c
1567dce0b5
hex427beb4c

1115417420 has 192 divisors, whose sum is σ = 2794176000. Its totient is φ = 370427904.

The previous prime is 1115417419. The next prime is 1115417491. The reversal of 1115417420 is 247145111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1115417420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12532736 + ... + 12532824.

It is an arithmetic number, because the mean of its divisors is an integer number (14553000).

Almost surely, 21115417420 is an apocalyptic number.

1115417420 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 1115417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397088000).

1115417420 is an abundant number, since it is smaller than the sum of its proper divisors (1678758580).

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

1115417420 is a wasteful number, since it uses less digits than its factorization.

1115417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1115417420 is about 33397.8655006574. The cubic root of 1115417420 is about 1037.0805140166.

The spelling of 1115417420 in words is "one billion, one hundred fifteen million, four hundred seventeen thousand, four hundred twenty".