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89120304 = 24337132267
BaseRepresentation
bin1010100111111…
…01111000110000
320012200210002000
411103331320300
5140303322204
612502054000
72131336650
oct523757060
9205623060
1089120304
1146340449
1225a1a300
1315604710
14bb9c360
157c56039
hex54fde30

89120304 has 160 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 23493888.

The previous prime is 89120303. The next prime is 89120321. The reversal of 89120304 is 40302198.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (89120303) 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, 38179 + ... + 40445.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 289120304 is an apocalyptic number.

89120304 is a gapful number since it is divisible by the number (84) 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 89120304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

89120304 is an abundant number, since it is smaller than the sum of its proper divisors (225859536).

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

89120304 is a wasteful number, since it uses less digits than its factorization.

89120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2292 counting only the distinct ones).

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

The square root of 89120304 is about 9440.3550780678. The cubic root of 89120304 is about 446.6755900299.

The spelling of 89120304 in words is "eighty-nine million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2267 2457 2808 3024 3276 4368 4534 4914 5616 6552 6801 9068 9828 13104 13602 15869 18136 19656 20403 27204 29471 31738 36272 39312 40806 47607 54408 58942 61209 63476 81612 88413 95214 108816 117884 122418 126952 142821 163224 176826 190428 206297 235768 244836 253904 265239 285642 326448 353652 380856 412594 428463 471536 489672 530478 571284 618891 707304 761712 795717 825188 856926 979344 1060956 1142568 1237782 1414608 1591434 1650376 1713852 1856673 2121912 2285136 2475564 3182868 3300752 3427704 3713346 4243824 4951128 5570019 6365736 6855408 7426692 9902256 11140038 12731472 14853384 22280076 29706768 44560152 89120304