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1115985024 = 273271123547
BaseRepresentation
bin100001010000100…
…1001010010000000
32212202220220122200
41002201021102000
54241143010044
6302423233200
736440500440
oct10241112200
92782826580
101115985024
11522a43080
122718a8800
1314a28978b
14a8300120
1567e92369
hex42849480

1115985024 has 384 divisors, whose sum is σ = 4185492480. Its totient is φ = 276756480.

The previous prime is 1115985019. The next prime is 1115985053. The reversal of 1115985024 is 4205895111.

1115985024 is a `hidden beast` number, since 1 + 11 + 598 + 50 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1115985024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2039919 + ... + 2040465.

It is an arithmetic number, because the mean of its divisors is an integer number (10899720).

Almost surely, 21115985024 is an apocalyptic number.

1115985024 is a gapful number since it is divisible by the number (14) 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 1115985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092746240).

1115985024 is an abundant number, since it is smaller than the sum of its proper divisors (3069507456).

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

1115985024 is a wasteful number, since it uses less digits than its factorization.

1115985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1115985024 is about 33406.3620288112. The cubic root of 1115985024 is about 1037.2563977161.

The spelling of 1115985024 in words is "one billion, one hundred fifteen million, nine hundred eighty-five thousand, twenty-four".