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1072785465 = 365294317
BaseRepresentation
bin111111111100010…
…110100000111001
32202202122011000000
4333330112200321
54144113113330
6254241303213
735404345263
oct7774264071
92682564000
101072785465
11500617664
1225b334b09
131413427cb
14a2696b33
15642ac560
hex3ff16839

1072785465 has 28 divisors (see below), whose sum is σ = 1930137444. Its totient is φ = 572150304.

The previous prime is 1072785463. The next prime is 1072785491. The reversal of 1072785465 is 5645872701.

1072785465 is a `hidden beast` number, since 107 + 2 + 7 + 85 + 465 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 294877584 + 777907881 = 17172^2 + 27891^2 .

It is not a de Polignac number, because 1072785465 - 21 = 1072785463 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 1072785465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072785463) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 143514 + ... + 150803.

Almost surely, 21072785465 is an apocalyptic number.

1072785465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072785465 is a deficient number, since it is larger than the sum of its proper divisors (857351979).

1072785465 is an frugal number, since it uses more digits than its factorization.

1072785465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294340 (or 294325 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 1072785465 is about 32753.4038689111. The cubic root of 1072785465 is about 1023.6958913559.

The spelling of 1072785465 in words is "one billion, seventy-two million, seven hundred eighty-five thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 294317 882951 1471585 2648853 4414755 7946559 13244265 23839677 39732795 71519031 119198385 214557093 357595155 1072785465