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1146940704 = 2532713107409
BaseRepresentation
bin100010001011100…
…1110110100100000
32221221011121212100
41010113032310200
54322104100304
6305450530400
740264556310
oct10427166440
92857147770
101146940704
11539466588
12280136a00
13153807750
14ac47b440
156aa59439
hex445ced20

1146940704 has 288 divisors, whose sum is σ = 4061715840. Its totient is φ = 298930176.

The previous prime is 1146940699. The next prime is 1146940721. The reversal of 1146940704 is 4070496411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2804052 + ... + 2804460.

It is an arithmetic number, because the mean of its divisors is an integer number (14103180).

Almost surely, 21146940704 is an apocalyptic number.

1146940704 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 1146940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030857920).

1146940704 is an abundant number, since it is smaller than the sum of its proper divisors (2914775136).

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

1146940704 is a wasteful number, since it uses less digits than its factorization.

1146940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1146940704 is about 33866.5130180242. The cubic root of 1146940704 is about 1046.7596868297.

The spelling of 1146940704 in words is "one billion, one hundred forty-six million, nine hundred forty thousand, seven hundred four".