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16955120 = 24571317137
BaseRepresentation
bin100000010101…
…1011011110000
31011220102001102
41000223123300
513320030440
61403223532
7264054560
oct100533360
934812042
1016955120
1196306a6
125817ba8
133688520
142374da0
15174db15
hex102b6f0

16955120 has 160 divisors (see below), whose sum is σ = 51746688. Its totient is φ = 5013504.

The previous prime is 16955093. The next prime is 16955129. The reversal of 16955120 is 2155961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16955129) 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 31 ways as a sum of consecutive naturals, for example, 123692 + ... + 123828.

Almost surely, 216955120 is an apocalyptic number.

16955120 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 16955120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25873344).

16955120 is an abundant number, since it is smaller than the sum of its proper divisors (34791568).

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

16955120 is a wasteful number, since it uses less digits than its factorization.

16955120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 16955120 is about 4117.6595293929. The cubic root of 16955120 is about 256.9016868732.

The spelling of 16955120 in words is "sixteen million, nine hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 137 140 170 182 208 221 238 260 272 274 280 340 364 442 455 476 520 548 560 595 680 685 728 884 910 952 959 1040 1096 1105 1190 1360 1370 1456 1547 1768 1781 1820 1904 1918 2192 2210 2329 2380 2740 3094 3536 3562 3640 3836 4420 4658 4760 4795 5480 6188 7124 7280 7672 7735 8840 8905 9316 9520 9590 10960 11645 12376 12467 14248 15344 15470 16303 17680 17810 18632 19180 23290 24752 24934 28496 30277 30940 32606 35620 37264 38360 46580 49868 60554 61880 62335 65212 71240 76720 81515 93160 99736 121108 123760 124670 130424 142480 151385 163030 186320 199472 211939 242216 249340 260848 302770 326060 423878 484432 498680 605540 652120 847756 997360 1059695 1211080 1304240 1695512 2119390 2422160 3391024 4238780 8477560 16955120