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1074983616 = 26337181491
BaseRepresentation
bin100000000010010…
…1111001011000000
32202220202211022000
41000010233023000
54200143433431
6254400344000
735432132010
oct10004571300
92686684260
101074983616
11501889113
12260015000
131419321a5
14a2aa9c40
15645939e6
hex4012f2c0

1074983616 has 224 divisors, whose sum is σ = 3639068160. Its totient is φ = 304819200.

The previous prime is 1074983603. The next prime is 1074983641. The reversal of 1074983616 is 6163894701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2189131 + ... + 2189621.

It is an arithmetic number, because the mean of its divisors is an integer number (16245840).

Almost surely, 21074983616 is an apocalyptic number.

1074983616 is a gapful number since it is divisible by the number (16) 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 1074983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819534080).

1074983616 is an abundant number, since it is smaller than the sum of its proper divisors (2564084544).

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

1074983616 is a wasteful number, since it uses less digits than its factorization.

1074983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1074983616 is about 32786.9427669004. The cubic root of 1074983616 is about 1024.3946029640.

The spelling of 1074983616 in words is "one billion, seventy-four million, nine hundred eighty-three thousand, six hundred sixteen".