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1072734273 = 34132935129
BaseRepresentation
bin111111111100001…
…010000001000001
32202202112112210000
4333330022001001
54144104444043
6254240230213
735404043112
oct7774120101
92682475700
101072734273
11500592156
1225b30b369
13141325410
14a2682209
156429c2d3
hex3ff0a041

1072734273 has 40 divisors (see below), whose sum is σ = 1785306600. Its totient is φ = 637362432.

The previous prime is 1072734269. The next prime is 1072734277. The reversal of 1072734273 is 3724372701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1072734269) and next prime (1072734277).

It can be written as a sum of positive squares in 4 ways, for example, as 3640464 + 1069093809 = 1908^2 + 32697^2 .

It is not a de Polignac number, because 1072734273 - 22 = 1072734269 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1072734277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12973 + ... + 48101.

It is an arithmetic number, because the mean of its divisors is an integer number (44632665).

Almost surely, 21072734273 is an apocalyptic number.

1072734273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1072734273 is a deficient number, since it is larger than the sum of its proper divisors (712572327).

1072734273 is a wasteful number, since it uses less digits than its factorization.

1072734273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35183 (or 35174 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 1072734273 is about 32752.6223835588. The cubic root of 1072734273 is about 1023.6796079282.

The spelling of 1072734273 in words is "one billion, seventy-two million, seven hundred thirty-four thousand, two hundred seventy-three".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 2349 3393 10179 30537 35129 105387 316161 456677 948483 1018741 1370031 2845449 3056223 4110093 9168669 12330279 13243633 27506007 36990837 39730899 82518021 119192697 357578091 1072734273