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89771040 = 25325312011
BaseRepresentation
bin1010101100111…
…00110000100000
320020220211201100
411112130300200
5140440133130
612524034400
72140020102
oct526346040
9206824640
1089771040
1146745347
1226092a00
13157a1978
14bccb572
157d33c60
hex559cc20

89771040 has 144 divisors (see below), whose sum is σ = 316382976. Its totient is φ = 23155200.

The previous prime is 89771039. The next prime is 89771041. The reversal of 89771040 is 4017798.

It is an interprime number because it is at equal distance from previous prime (89771039) and next prime (89771041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 89770986 and 89771004.

It is not an unprimeable number, because it can be changed into a prime (89771041) 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 23 ways as a sum of consecutive naturals, for example, 43635 + ... + 45645.

It is an arithmetic number, because the mean of its divisors is an integer number (2197104).

Almost surely, 289771040 is an apocalyptic number.

89771040 is a gapful number since it is divisible by the number (80) 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 89771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158191488).

89771040 is an abundant number, since it is smaller than the sum of its proper divisors (226611936).

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

89771040 is a wasteful number, since it uses less digits than its factorization.

89771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 89771040 is about 9474.7580444041. The cubic root of 89771040 is about 447.7601288174.

The spelling of 89771040 in words is "eighty-nine million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2011 2232 2480 2790 2976 3720 4022 4464 4960 5580 6033 7440 8044 8928 10055 11160 12066 14880 16088 18099 20110 22320 24132 30165 32176 36198 40220 44640 48264 60330 62341 64352 72396 80440 90495 96528 120660 124682 144792 160880 180990 187023 193056 241320 249364 289584 311705 321760 361980 374046 482640 498728 561069 579168 623410 723960 748092 935115 965280 997456 1122138 1246820 1447920 1496184 1870230 1994912 2244276 2493640 2805345 2895840 2992368 3740460 4488552 4987280 5610690 5984736 7480920 8977104 9974560 11221380 14961840 17954208 22442760 29923680 44885520 89771040