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89230440 = 233513471217
BaseRepresentation
bin1010101000110…
…00110001101000
320012220101011010
411110120301220
5140320333230
612504303520
72132306025
oct524306150
9205811133
1089230440
1146406172
1225a71ba0
13156428a0
14bbca54c
157c789b0
hex5518c68

89230440 has 128 divisors (see below), whose sum is σ = 294658560. Its totient is φ = 21479424.

The previous prime is 89230367. The next prime is 89230447. The reversal of 89230440 is 4403298.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 89230398 and 89230407.

It is not an unprimeable number, because it can be changed into a prime (89230447) 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, 72712 + ... + 73928.

It is an arithmetic number, because the mean of its divisors is an integer number (2302020).

Almost surely, 289230440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

89230440 is an abundant number, since it is smaller than the sum of its proper divisors (205428120).

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

89230440 is a wasteful number, since it uses less digits than its factorization.

89230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 89230440 is about 9446.1865321409. The cubic root of 89230440 is about 446.8595167342.

The spelling of 89230440 in words is "eighty-nine million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 47 52 60 65 78 94 104 120 130 141 156 188 195 235 260 282 312 376 390 470 520 564 611 705 780 940 1128 1217 1222 1410 1560 1833 1880 2434 2444 2820 3055 3651 3666 4868 4888 5640 6085 6110 7302 7332 9165 9736 12170 12220 14604 14664 15821 18255 18330 24340 24440 29208 31642 36510 36660 47463 48680 57199 63284 73020 73320 79105 94926 114398 126568 146040 158210 171597 189852 228796 237315 285995 316420 343194 379704 457592 474630 571990 632840 686388 743587 857985 949260 1143980 1372776 1487174 1715970 1898520 2230761 2287960 2974348 3431940 3717935 4461522 5948696 6863880 7435870 8923044 11153805 14871740 17846088 22307610 29743480 44615220 89230440