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209130480 = 243251322343
BaseRepresentation
bin11000111011100…
…01001111110000
3112120111221002100
430131301033300
5412014133410
632430220400
75116402566
oct1435611760
9476457070
10209130480
11a8059909
125a054700
1334433160
141dabba36
151355e8c0
hexc7713f0

209130480 has 120 divisors (see below), whose sum is σ = 756389088. Its totient is φ = 51475968.

The previous prime is 209130461. The next prime is 209130521. The reversal of 209130480 is 84031902.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812 + ... + 20531.

Almost surely, 2209130480 is an apocalyptic number.

209130480 is a gapful number since it is divisible by the number (20) 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 209130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378194544).

209130480 is an abundant number, since it is smaller than the sum of its proper divisors (547258608).

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

209130480 is a wasteful number, since it uses less digits than its factorization.

209130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375 (or 22366 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 209130480 is about 14461.3443358493. The cubic root of 209130480 is about 593.5706859445.

The spelling of 209130480 in words is "two hundred nine million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 22343 44686 67029 89372 111715 134058 178744 201087 223430 268116 290459 335145 357488 402174 446860 536232 580918 670290 804348 871377 893720 1005435 1072464 1161836 1340580 1452295 1608696 1742754 1787440 2010870 2323672 2614131 2681160 2904590 3217392 3485508 4021740 4356885 4647344 5228262 5362320 5809180 6971016 8043480 8713770 10456524 11618360 13070655 13942032 16086960 17427540 20913048 23236720 26141310 34855080 41826096 52282620 69710160 104565240 209130480