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1296142092 = 22327231131979
BaseRepresentation
bin100110101000001…
…1000111100001100
310100022220211200200
41031100120330030
510123303021332
6332340453500
744056011630
oct11520307414
93308824620
101296142092
11605702813
123020aa290
131786b6cab
14c41d8dc0
1578bcc17c
hex4d418f0c

1296142092 has 144 divisors (see below), whose sum is σ = 3943779840. Its totient is φ = 350913024.

The previous prime is 1296142073. The next prime is 1296142117. The reversal of 1296142092 is 2902416921.

1296142092 is a `hidden beast` number, since 12 + 9 + 614 + 20 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653959 + ... + 655937.

It is an arithmetic number, because the mean of its divisors is an integer number (27387360).

Almost surely, 21296142092 is an apocalyptic number.

1296142092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296142092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971889920).

1296142092 is an abundant number, since it is smaller than the sum of its proper divisors (2647637748).

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

1296142092 is a wasteful number, since it uses less digits than its factorization.

1296142092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1296142092 is about 36001.9734459099. The cubic root of 1296142092 is about 1090.3121996597.

The spelling of 1296142092 in words is "one billion, two hundred ninety-six million, one hundred forty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 113 126 138 161 207 226 252 276 322 339 414 452 483 644 678 791 828 966 1017 1356 1449 1582 1932 1979 2034 2373 2599 2898 3164 3958 4068 4746 5198 5796 5937 7119 7797 7916 9492 10396 11874 13853 14238 15594 17811 18193 23391 23748 27706 28476 31188 35622 36386 41559 45517 46782 54579 55412 71244 72772 83118 91034 93564 109158 124677 136551 163737 166236 182068 218316 223627 249354 273102 318619 327474 409653 447254 498708 546204 637238 654948 670881 819306 894508 955857 1274476 1341762 1565389 1638612 1911714 2012643 2683524 2867571 3130778 3823428 4025286 4696167 5143421 5735142 6261556 8050572 9392334 10286842 11470284 14088501 15430263 18784668 20573684 28177002 30860526 36003947 46290789 56354004 61721052 72007894 92581578 108011841 144015788 185163156 216023682 324035523 432047364 648071046 1296142092