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1096343136 = 253274312647
BaseRepresentation
bin100000101011000…
…1101111001100000
32211101222000001100
41001112031321200
54221130440021
6300442234400
736111522450
oct10126157140
92741860040
101096343136
11512947909
122671b5a00
131461a0365
14a5869d60
15663b2626
hex4158de60

1096343136 has 144 divisors (see below), whose sum is σ = 3646266624. Its totient is φ = 305932032.

The previous prime is 1096343123. The next prime is 1096343147. The reversal of 1096343136 is 6313436901.

1096343136 is a `hidden beast` number, since 1 + 0 + 9 + 634 + 3 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1096343136.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 80365 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (25321296).

Almost surely, 21096343136 is an apocalyptic number.

1096343136 is a gapful number since it is divisible by the number (16) 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 1096343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823133312).

1096343136 is an abundant number, since it is smaller than the sum of its proper divisors (2549923488).

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

1096343136 is a wasteful number, since it uses less digits than its factorization.

1096343136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12713 (or 12702 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1096343136 is about 33111.0727098957. The cubic root of 1096343136 is about 1031.1349339824.

The spelling of 1096343136 in words is "one billion, ninety-six million, three hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 387 504 516 602 672 688 774 903 1008 1032 1204 1376 1548 1806 2016 2064 2408 2709 3096 3612 4128 4816 5418 6192 7224 9632 10836 12384 12647 14448 21672 25294 28896 37941 43344 50588 75882 86688 88529 101176 113823 151764 177058 202352 227646 265587 303528 354116 404704 455292 531174 543821 607056 708232 796761 910584 1062348 1087642 1214112 1416464 1593522 1631463 1821168 2124696 2175284 2832928 3187044 3262926 3642336 3806747 4249392 4350568 4894389 6374088 6525852 7613494 8498784 8701136 9788778 11420241 12748176 13051704 15226988 17402272 19577556 22840482 25496352 26103408 30453976 34260723 39155112 45680964 52206816 60907952 68521446 78310224 91361928 121815904 137042892 156620448 182723856 274085784 365447712 548171568 1096343136