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1146805407 = 321143926387
BaseRepresentation
bin100010001011010…
…1101110010011111
32221220220202021100
41010112231302133
54322040233112
6305444004143
740263453666
oct10426556237
92856822240
101146805407
11539383970
12280090653
1315378aca7
14ac443ddd
156aa2e2dc
hex445adc9f

1146805407 has 24 divisors (see below), whose sum is σ = 1811272320. Its totient is φ = 693424080.

The previous prime is 1146805403. The next prime is 1146805427. The reversal of 1146805407 is 7045086411.

It is a happy number.

It is not a de Polignac number, because 1146805407 - 22 = 1146805403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146805403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30268 + ... + 56654.

It is an arithmetic number, because the mean of its divisors is an integer number (75469680).

Almost surely, 21146805407 is an apocalyptic number.

1146805407 is a deficient number, since it is larger than the sum of its proper divisors (664466913).

1146805407 is a wasteful number, since it uses less digits than its factorization.

1146805407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843 (or 26840 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1146805407 is about 33864.5154549714. The cubic root of 1146805407 is about 1046.7185254416.

The spelling of 1146805407 in words is "one billion, one hundred forty-six million, eight hundred five thousand, four hundred seven".

Divisors: 1 3 9 11 33 99 439 1317 3951 4829 14487 26387 43461 79161 237483 290257 870771 2612313 11583893 34751679 104255037 127422823 382268469 1146805407