Search a number
-
+
17149056 = 273173771
BaseRepresentation
bin100000101101…
…0110010000000
31012021021002020
41001122302000
513342232211
61411321440
7265523151
oct101326200
935237066
1017149056
119753381
1258b0280
133725892
1423c5928
15178b306
hex105ac80

17149056 has 128 divisors (see below), whose sum is σ = 50232960. Its totient is φ = 5160960.

The previous prime is 17149037. The next prime is 17149081. The reversal of 17149056 is 65094171.

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

It is a super-2 number, since 2×171490562 = 588180243382272, 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, 241501 + ... + 241571.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 217149056 is an apocalyptic number.

17149056 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 17149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116480).

17149056 is an abundant number, since it is smaller than the sum of its proper divisors (33083904).

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

17149056 is a wasteful number, since it uses less digits than its factorization.

17149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 17149056 is about 4141.1418715132. The cubic root of 17149056 is about 257.8774732184.

The spelling of 17149056 in words is "seventeen million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 71 74 96 102 111 128 136 142 148 192 204 213 222 272 284 296 384 408 426 444 544 568 592 629 816 852 888 1088 1136 1184 1207 1258 1632 1704 1776 1887 2176 2272 2368 2414 2516 2627 3264 3408 3552 3621 3774 4544 4736 4828 5032 5254 6528 6816 7104 7242 7548 7881 9088 9656 10064 10508 13632 14208 14484 15096 15762 19312 20128 21016 27264 28968 30192 31524 38624 40256 42032 44659 57936 60384 63048 77248 80512 84064 89318 115872 120768 126096 133977 154496 168128 178636 231744 241536 252192 267954 336256 357272 463488 504384 535908 714544 1008768 1071816 1429088 2143632 2858176 4287264 5716352 8574528 17149056