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1084145472 = 2636191223
BaseRepresentation
bin100000010011110…
…1011111101000000
32210120000022000000
41000213223331000
54210020123342
6255325000000
735603040654
oct10047537500
92716008000
101084145472
11506a765a3
122630b3000
131437bc3c7
14a3db2a64
15652a344c
hex409ebf40

1084145472 has 196 divisors, whose sum is σ = 3398093280. Its totient is φ = 342081792.

The previous prime is 1084145467. The next prime is 1084145477. The reversal of 1084145472 is 2745414801.

It is a happy number.

1084145472 is a `hidden beast` number, since 108 + 4 + 1 + 4 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1084145467) and next prime (1084145477).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084145477) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 885853 + ... + 887075.

Almost surely, 21084145472 is an apocalyptic number.

1084145472 is a gapful number since it is divisible by the number (12) 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 1084145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699046640).

1084145472 is an abundant number, since it is smaller than the sum of its proper divisors (2313947808).

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

1084145472 is an equidigital number, since it uses as much as digits as its factorization.

1084145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 1084145472 is about 32926.3643908647. The cubic root of 1084145472 is about 1027.2966063390.

The spelling of 1084145472 in words is "one billion, eighty-four million, one hundred forty-five thousand, four hundred seventy-two".