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1115525040 = 2435717139281
BaseRepresentation
bin100001001111101…
…1000111110110000
32212202001112200020
41002133120332300
54241033300130
6302405323440
736433543410
oct10237307660
92782045606
101115525040
11522759523
12271706580
1314a1582b6
14a8220640
1567e00e10
hex427d8fb0

1115525040 has 320 divisors, whose sum is σ = 4229729280. Its totient is φ = 237404160.

The previous prime is 1115525003. The next prime is 1115525053. The reversal of 1115525040 is 405255111.

It is a super-2 number, since 2×11155250402 = 2488792229734003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1115525040.

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, 3969700 + ... + 3969980.

It is an arithmetic number, because the mean of its divisors is an integer number (13217904).

Almost surely, 21115525040 is an apocalyptic number.

1115525040 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 1115525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114864640).

1115525040 is an abundant number, since it is smaller than the sum of its proper divisors (3114204240).

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

1115525040 is a wasteful number, since it uses less digits than its factorization.

1115525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1115525040 is about 33399.4766426062. The cubic root of 1115525040 is about 1037.1138668564.

The spelling of 1115525040 in words is "one billion, one hundred fifteen million, five hundred twenty-five thousand, forty".