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104897408 = 2771129367
BaseRepresentation
bin1100100000010…
…01101110000000
321022101100012012
412100021232000
5203323204113
614224152052
72412420230
oct620115600
9238340165
10104897408
1154236a80
122b168628
1318969995
14dd07cc0
159320aa8
hex6409b80

104897408 has 128 divisors (see below), whose sum is σ = 270259200. Its totient is φ = 39352320.

The previous prime is 104897399. The next prime is 104897413. The reversal of 104897408 is 804798401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1048974082 = 22006932410236928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285641 + ... + 286007.

It is an arithmetic number, because the mean of its divisors is an integer number (2111400).

Almost surely, 2104897408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129600).

104897408 is an abundant number, since it is smaller than the sum of its proper divisors (165361792).

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

104897408 is a wasteful number, since it uses less digits than its factorization.

104897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 104897408 is about 10241.9435655543. The cubic root of 104897408 is about 471.6156979113.

The spelling of 104897408 in words is "one hundred four million, eight hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 367 406 448 464 616 638 704 734 812 896 928 1232 1276 1408 1468 1624 1856 2233 2464 2552 2569 2936 3248 3712 4037 4466 4928 5104 5138 5872 6496 8074 8932 9856 10208 10276 10643 11744 12992 16148 17864 20416 20552 21286 23488 25984 28259 32296 35728 40832 41104 42572 46976 56518 64592 71456 74501 82208 85144 113036 117073 129184 142912 149002 164416 170288 226072 234146 258368 285824 298004 328832 340576 452144 468292 516736 596008 681152 819511 904288 936584 1192016 1362304 1639022 1808576 1873168 2384032 3278044 3617152 3746336 4768064 6556088 7492672 9536128 13112176 14985344 26224352 52448704 104897408