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1082146815 = 325174367491
BaseRepresentation
bin100000010000000…
…0011111111111111
32210102020202100200
41000200003333333
54204012144230
6255214054543
735550044661
oct10040037777
92712222320
101082146815
11505930a12
122624aa453
1314326c779
14a3a12531
156500b160
hex40803fff

1082146815 has 96 divisors (see below), whose sum is σ = 2066777856. Its totient is φ = 521579520.

The previous prime is 1082146801. The next prime is 1082146823. The reversal of 1082146815 is 5186412801.

1082146815 = 23 + 33 + ... + 2563.

It is a Cunningham number, because it is equal to 328962-1.

It is not a de Polignac number, because 1082146815 - 213 = 1082138623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1082146815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2203720 + ... + 2204210.

It is an arithmetic number, because the mean of its divisors is an integer number (21528936).

Almost surely, 21082146815 is an apocalyptic number.

1082146815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1082146815 is a deficient number, since it is larger than the sum of its proper divisors (984631041).

1082146815 is a wasteful number, since it uses less digits than its factorization.

1082146815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1082146815 is about 32895.9999848006. Note that the first 4 decimals coincide. The cubic root of 1082146815 is about 1026.6649332465.

The spelling of 1082146815 in words is "one billion, eighty-two million, one hundred forty-six thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 17 43 45 51 67 85 129 153 201 215 255 335 387 491 603 645 731 765 1005 1139 1473 1935 2193 2455 2881 3015 3417 3655 4419 5695 6579 7365 8347 8643 10251 10965 14405 17085 21113 22095 25041 25929 32895 32897 41735 43215 48977 51255 63339 75123 98691 105565 125205 129645 146931 164485 190017 244885 296073 316695 358921 375615 440793 493455 559249 734655 950085 1076763 1414571 1480365 1677747 1794605 2203965 2796245 3230289 4243713 5033241 5383815 7072855 8388735 12731139 16151445 21218565 24047707 25166205 63655695 72143121 120238535 216429363 360715605 1082146815