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1072305 = 33513247
BaseRepresentation
bin100000101110010110001
32000110221000
410011302301
5233303210
634552213
712054153
oct4056261
92013830
101072305
11672703
12438669
132b7100
141dcad3
15162ac0
hex105cb1

1072305 has 48 divisors (see below), whose sum is σ = 2108160. Its totient is φ = 516672.

The previous prime is 1072301. The next prime is 1072327. The reversal of 1072305 is 5032701.

It is not a de Polignac number, because 1072305 - 22 = 1072301 is a prime.

It is a super-2 number, since 2×10723052 = 2299676026050, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1072301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22792 + ... + 22838.

It is an arithmetic number, because the mean of its divisors is an integer number (43920).

21072305 is an apocalyptic number.

1072305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072305 is a deficient number, since it is larger than the sum of its proper divisors (1035855).

1072305 is a wasteful number, since it uses less digits than its factorization.

1072305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1072305 is about 1035.5216076934. The cubic root of 1072305 is about 102.3543042065.

The spelling of 1072305 in words is "one million, seventy-two thousand, three hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 47 65 117 135 141 169 195 235 351 423 507 585 611 705 845 1269 1521 1755 1833 2115 2535 3055 4563 5499 6345 7605 7943 9165 16497 22815 23829 27495 39715 71487 82485 119145 214461 357435 1072305