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1082570034 = 237213319137
BaseRepresentation
bin100000010000110…
…1011010100110010
32210110001020220110
41000201223110302
54204114220114
6255231122150
735553456600
oct10041532462
92713036813
101082570034
1150609a987
12262673356
1314338a2b0
14a3ac2870
1565091759
hex4086b532

1082570034 has 96 divisors (see below), whose sum is σ = 2800175616. Its totient is φ = 276272640.

The previous prime is 1082570033. The next prime is 1082570051. The reversal of 1082570034 is 4300752801.

It is a super-2 number, since 2×10825700342 = 2343915757029522312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1082569983 and 1082570010.

It is not an unprimeable number, because it can be changed into a prime (1082570033) 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, 113914 + ... + 123050.

It is an arithmetic number, because the mean of its divisors is an integer number (29168496).

Almost surely, 21082570034 is an apocalyptic number.

1082570034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082570034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400087808).

1082570034 is an abundant number, since it is smaller than the sum of its proper divisors (1717605582).

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

1082570034 is a wasteful number, since it uses less digits than its factorization.

1082570034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9200 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1082570034 is about 32902.4320377689. The cubic root of 1082570034 is about 1026.7987559617.

The spelling of 1082570034 in words is "one billion, eighty-two million, five hundred seventy thousand, thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 546 637 651 806 1209 1274 1302 1519 1911 2418 2821 3038 3822 4557 5642 8463 9114 9137 16926 18274 19747 27411 39494 54822 59241 63959 118482 118781 127918 191877 237562 283247 356343 383754 447713 566494 712686 831467 849741 895426 1343139 1662934 1699482 1982729 2494401 2686278 3682211 3965458 4988802 5820269 5948187 7364422 11046633 11640538 11896374 13879103 17460807 22093266 25775477 27758206 34921614 41637309 51550954 77326431 83274618 154652862 180428339 360856678 541285017 1082570034