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103444992 = 293371069
BaseRepresentation
bin1100010101001…
…11001000000000
321012122112212000
412022213020000
5202440214432
614133104000
72364160620
oct612471000
9235575760
10103444992
1153434832
122a788000
131857b871
14da4a880
15913557c
hex62a7200

103444992 has 160 divisors (see below), whose sum is σ = 350275200. Its totient is φ = 29528064.

The previous prime is 103444973. The next prime is 103445011. The reversal of 103444992 is 299444301.

It is an interprime number because it is at equal distance from previous prime (103444973) and next prime (103445011).

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

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, 96234 + ... + 97302.

It is an arithmetic number, because the mean of its divisors is an integer number (2189220).

Almost surely, 2103444992 is an apocalyptic number.

103444992 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 103444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175137600).

103444992 is an abundant number, since it is smaller than the sum of its proper divisors (246830208).

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

103444992 is an equidigital number, since it uses as much as digits as its factorization.

103444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 103444992 is about 10170.7911196721. The cubic root of 103444992 is about 469.4289004196.

The spelling of 103444992 in words is "one hundred three million, four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1069 1152 1344 1512 1536 1728 1792 2016 2138 2304 2688 3024 3207 3456 3584 4032 4276 4608 5376 6048 6414 6912 7483 8064 8552 9621 10752 12096 12828 13824 14966 16128 17104 19242 22449 24192 25656 28863 29932 32256 34208 38484 44898 48384 51312 57726 59864 67347 68416 76968 89796 96768 102624 115452 119728 134694 136832 153936 179592 202041 205248 230904 239456 269388 273664 307872 359184 404082 410496 461808 478912 538776 547328 615744 718368 808164 820992 923616 957824 1077552 1231488 1436736 1616328 1641984 1847232 1915648 2155104 2462976 2873472 3232656 3694464 3831296 4310208 4925952 5746944 6465312 7388928 8620416 11493888 12930624 14777856 17240832 25861248 34481664 51722496 103444992