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104662272 = 2831113953
BaseRepresentation
bin1100011110100…
…00010100000000
321021221101122110
412033100110000
5203243143042
614215135320
72410420551
oct617202400
9237841573
10104662272
1154096350
122b074540
13188b6950
14dc86328
1592c609c
hex63d0500

104662272 has 144 divisors (see below), whose sum is σ = 327595968. Its totient is φ = 29245440.

The previous prime is 104662267. The next prime is 104662273. The reversal of 104662272 is 272266401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104662273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109348 + ... + 110300.

It is an arithmetic number, because the mean of its divisors is an integer number (2274972).

Almost surely, 2104662272 is an apocalyptic number.

104662272 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 104662272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163797984).

104662272 is an abundant number, since it is smaller than the sum of its proper divisors (222933696).

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

104662272 is a wasteful number, since it uses less digits than its factorization.

104662272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 104662272 is about 10230.4580542613. The cubic root of 104662272 is about 471.2630460732.

The spelling of 104662272 in words is "one hundred four million, six hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 953 1056 1144 1248 1408 1664 1716 1906 2112 2288 2496 2816 2859 3328 3432 3812 4224 4576 4992 5718 6864 7624 8448 9152 9984 10483 11436 12389 13728 15248 18304 20966 22872 24778 27456 30496 31449 36608 37167 41932 45744 49556 54912 60992 62898 74334 83864 91488 99112 109824 121984 125796 136279 148668 167728 182976 198224 243968 251592 272558 297336 335456 365952 396448 408837 503184 545116 594672 670912 731904 792896 817674 1006368 1090232 1189344 1341824 1585792 1635348 2012736 2180464 2378688 2683648 3171584 3270696 4025472 4360928 4757376 6541392 8050944 8721856 9514752 13082784 17443712 26165568 34887424 52331136 104662272