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289469940 = 223519318191
BaseRepresentation
bin10001010000001…
…111010111110100
3202011200121002220
4101100033113310
51043101014230
644420202340
710113311454
oct2120172764
9664617086
10289469940
11139442061
1280b393b0
1347c81bb6
142a631d64
151a62dd10
hex1140f5f4

289469940 has 96 divisors (see below), whose sum is σ = 880803840. Its totient is φ = 70761600.

The previous prime is 289469923. The next prime is 289470031. The reversal of 289469940 is 49964982.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31245 + ... + 39435.

It is an arithmetic number, because the mean of its divisors is an integer number (9175040).

Almost surely, 2289469940 is an apocalyptic number.

289469940 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 289469940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440401920).

289469940 is an abundant number, since it is smaller than the sum of its proper divisors (591333900).

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

289469940 is a wasteful number, since it uses less digits than its factorization.

289469940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 289469940 is about 17013.8161504114. The cubic root of 289469940 is about 661.5070703095.

The spelling of 289469940 in words is "two hundred eighty-nine million, four hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 1140 1178 1767 1860 2356 2945 3534 5890 7068 8191 8835 11780 16382 17670 24573 32764 35340 40955 49146 81910 98292 122865 155629 163820 245730 253921 311258 466887 491460 507842 622516 761763 778145 933774 1015684 1269605 1523526 1556290 1867548 2334435 2539210 3047052 3112580 3808815 4668870 4824499 5078420 7617630 9337740 9648998 14473497 15235260 19297996 24122495 28946994 48244990 57893988 72367485 96489980 144734970 289469940