Search a number
-
+
17031040 = 275132389
BaseRepresentation
bin100000011110…
…1111110000000
31012001021012021
41000331332000
513324443130
61405011224
7264522115
oct100757600
935037167
1017031040
119682744
125853b14
1336b3c50
14239490c
15176637a
hex103df80

17031040 has 128 divisors (see below), whose sum is σ = 46267200. Its totient is φ = 5947392.

The previous prime is 17031037. The next prime is 17031041. The reversal of 17031040 is 4013071.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191316 + ... + 191404.

Almost surely, 217031040 is an apocalyptic number.

17031040 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 17031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23133600).

17031040 is an abundant number, since it is smaller than the sum of its proper divisors (29236160).

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

17031040 is a wasteful number, since it uses less digits than its factorization.

17031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 17031040 is about 4126.8680618600. The cubic root of 17031040 is about 257.2845591710.

The spelling of 17031040 in words is "seventeen million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 89 92 104 115 128 130 160 178 184 208 230 260 299 320 356 368 416 445 460 520 598 640 712 736 832 890 920 1040 1157 1196 1424 1472 1495 1664 1780 1840 2047 2080 2314 2392 2848 2944 2990 3560 3680 4094 4160 4628 4784 5696 5785 5980 7120 7360 8188 8320 9256 9568 10235 11392 11570 11960 14240 14720 16376 18512 19136 20470 23140 23920 26611 28480 32752 37024 38272 40940 46280 47840 53222 56960 65504 74048 81880 92560 95680 106444 131008 133055 148096 163760 185120 191360 212888 262016 266110 327520 370240 425776 532220 655040 740480 851552 1064440 1310080 1703104 2128880 3406208 4257760 8515520 17031040