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17134080 = 29352397
BaseRepresentation
bin100000101011…
…1001000000000
31012020111112120
41001113020000
513341242310
61411124240
7265431405
oct101271000
935214476
1017134080
1197430a7
1258a3680
13371bb12
1423c02ac
151786b70
hex1057200

17134080 has 160 divisors (see below), whose sum is σ = 57746304. Its totient is φ = 4325376.

The previous prime is 17134063. The next prime is 17134087. The reversal of 17134080 is 8043171.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 17134080.

It is not an unprimeable number, because it can be changed into a prime (17134087) 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, 176592 + ... + 176688.

Almost surely, 217134080 is an apocalyptic number.

17134080 is a gapful number since it is divisible by the number (10) 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 17134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873152).

17134080 is an abundant number, since it is smaller than the sum of its proper divisors (40612224).

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

17134080 is an equidigital number, since it uses as much as digits as its factorization.

17134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 17134080 is about 4139.3332796478. Note that the first 3 decimals coincide. The cubic root of 17134080 is about 257.8023845802.

Subtracting from 17134080 its reverse (8043171), we obtain a palindrome (9090909).

The spelling of 17134080 in words is "seventeen million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 97 115 120 128 138 160 184 192 194 230 240 256 276 291 320 345 368 384 388 460 480 485 512 552 582 640 690 736 768 776 920 960 970 1104 1164 1280 1380 1455 1472 1536 1552 1840 1920 1940 2208 2231 2328 2560 2760 2910 2944 3104 3680 3840 3880 4416 4462 4656 5520 5820 5888 6208 6693 7360 7680 7760 8832 8924 9312 11040 11155 11640 11776 12416 13386 14720 15520 17664 17848 18624 22080 22310 23280 24832 26772 29440 31040 33465 35328 35696 37248 44160 44620 46560 49664 53544 58880 62080 66930 71392 74496 88320 89240 93120 107088 124160 133860 142784 148992 176640 178480 186240 214176 248320 267720 285568 356960 372480 428352 535440 571136 713920 744960 856704 1070880 1142272 1427840 1713408 2141760 2855680 3426816 4283520 5711360 8567040 17134080