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289020732 = 2237111324061
BaseRepresentation
bin10001001110100…
…001101100111100
3202010211202220120
4101032201230330
51042442130412
644402414540
710106431020
oct2116415474
9663752816
10289020732
11139165610
1280961450
1347b555b0
142a556380
151a590b8c
hex113a1b3c

289020732 has 96 divisors (see below), whose sum is σ = 905501184. Its totient is φ = 69292800.

The previous prime is 289020707. The next prime is 289020733. The reversal of 289020732 is 237020982.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 289020693 and 289020702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289020733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19 + ... + 24042.

It is an arithmetic number, because the mean of its divisors is an integer number (9432304).

Almost surely, 2289020732 is an apocalyptic number.

289020732 is a gapful number since it is divisible by the number (22) 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 289020732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452750592).

289020732 is an abundant number, since it is smaller than the sum of its proper divisors (616480452).

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

289020732 is a wasteful number, since it uses less digits than its factorization.

289020732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24099 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 289020732 is about 17000.6097537706. The cubic root of 289020732 is about 661.1647110860.

The spelling of 289020732 in words is "two hundred eighty-nine million, twenty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 24061 48122 72183 96244 144366 168427 264671 288732 312793 336854 505281 529342 625586 673708 794013 938379 1010562 1058684 1251172 1588026 1852697 1876758 2021124 2189551 3176052 3440723 3705394 3753516 4379102 5558091 6568653 6881446 7410788 8758204 10322169 11116182 13137306 13762892 20644338 22232364 24085061 26274612 41288676 48170122 72255183 96340244 144510366 289020732