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104887296 = 2103219599
BaseRepresentation
bin1100100000001…
…11010000000000
321022100211022200
412100013100000
5203322343141
614224033200
72412345603
oct620072000
9238324280
10104887296
115422a418
122b162800
13189651b7
14dd0433a
15931cab6
hex6407400

104887296 has 132 divisors (see below), whose sum is σ = 319332000. Its totient is φ = 33067008.

The previous prime is 104887259. The next prime is 104887303. The reversal of 104887296 is 692788401.

104887296 is a `hidden beast` number, since 10 + 488 + 72 + 96 = 666.

It is a super-2 number, since 2×1048872962 = 22002689724383232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174805 + ... + 175403.

Almost surely, 2104887296 is an apocalyptic number.

104887296 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 104887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159666000).

104887296 is an abundant number, since it is smaller than the sum of its proper divisors (214444704).

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

104887296 is a wasteful number, since it uses less digits than its factorization.

104887296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 104887296 is about 10241.4498973534. The cubic root of 104887296 is about 471.6005430049.

The spelling of 104887296 in words is "one hundred four million, eight hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 599 608 684 768 912 1024 1152 1198 1216 1368 1536 1797 1824 2304 2396 2432 2736 3072 3594 3648 4608 4792 4864 5391 5472 7188 7296 9216 9584 9728 10782 10944 11381 14376 14592 19168 19456 21564 21888 22762 28752 29184 34143 38336 43128 43776 45524 57504 58368 68286 76672 86256 87552 91048 102429 115008 136572 153344 172512 175104 182096 204858 230016 273144 306688 345024 364192 409716 460032 546288 613376 690048 728384 819432 920064 1092576 1380096 1456768 1638864 1840128 2185152 2760192 2913536 3277728 4370304 5520384 5827072 6555456 8740608 11654144 13110912 17481216 26221824 34962432 52443648 104887296