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17070144 = 263713977
BaseRepresentation
bin100000100011…
…1100001000000
31012010020211120
41001013201000
513332221034
61405512240
7265044120
oct101074100
935106746
1017070144
1196aa063
125872680
1336c89a0
1423a4c80
151772c49
hex1047840

17070144 has 112 divisors (see below), whose sum is σ = 55644288. Its totient is φ = 4497408.

The previous prime is 17070143. The next prime is 17070149. The reversal of 17070144 is 44107071.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (17070143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16984 + ... + 17960.

It is an arithmetic number, because the mean of its divisors is an integer number (496824).

Almost surely, 217070144 is an apocalyptic number.

17070144 is a gapful number since it is divisible by the number (14) 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 17070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27822144).

17070144 is an abundant number, since it is smaller than the sum of its proper divisors (38574144).

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

17070144 is a wasteful number, since it uses less digits than its factorization.

17070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 17070144 is about 4131.6030787093. The cubic root of 17070144 is about 257.4813207929.

The spelling of 17070144 in words is "seventeen million, seventy thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 977 1092 1248 1344 1456 1954 2184 2496 2912 2931 3908 4368 5824 5862 6839 7816 8736 11724 12701 13678 15632 17472 20517 23448 25402 27356 31264 38103 41034 46896 50804 54712 62528 76206 82068 88907 93792 101608 109424 152412 164136 177814 187584 203216 218848 266721 304824 328272 355628 406432 437696 533442 609648 656544 711256 812864 1066884 1219296 1313088 1422512 2133768 2438592 2845024 4267536 5690048 8535072 17070144