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1445680845 = 33578917189
BaseRepresentation
bin101011000101011…
…0101011011001101
310201202022012022000
41112022311123031
510430043241340
6355241542513
750553040650
oct12612653315
93652265260
101445680845
1168205a464
123441a4a39
131a0683c6b
14da003897
1586db9d30
hex562b56cd

1445680845 has 64 divisors (see below), whose sum is σ = 2970432000. Its totient is φ = 653419008.

The previous prime is 1445680813. The next prime is 1445680861. The reversal of 1445680845 is 5480865441.

It is a happy number.

1445680845 is a `hidden beast` number, since 1 + 4 + 4 + 568 + 0 + 84 + 5 = 666.

It is not a de Polignac number, because 1445680845 - 25 = 1445680813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1445680845.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 75511 + ... + 92699.

It is an arithmetic number, because the mean of its divisors is an integer number (46413000).

Almost surely, 21445680845 is an apocalyptic number.

1445680845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1445680845 is an abundant number, since it is smaller than the sum of its proper divisors (1524751155).

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

1445680845 is a wasteful number, since it uses less digits than its factorization.

1445680845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17299 (or 17293 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1445680845 is about 38022.1099493439. The cubic root of 1445680845 is about 1130.7262527958.

The spelling of 1445680845 in words is "one billion, four hundred forty-five million, six hundred eighty thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 89 105 135 189 267 315 445 623 801 945 1335 1869 2403 3115 4005 5607 9345 12015 16821 17189 28035 51567 84105 85945 120323 154701 257835 360969 464103 601615 773505 1082907 1529821 1804845 2320515 3248721 4589463 5414535 7649105 10708747 13768389 16243605 22947315 32126241 41305167 53543735 68841945 96378723 160631205 206525835 289136169 481893615 1445680845