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89917080 = 233511174007
BaseRepresentation
bin1010101110000…
…00011010011000
320021012021001020
411113000122120
5141004321310
612531122440
72141165631
oct527003230
9207167036
1089917080
1146835040
1226143420
1315823296
14bd28888
157d62170
hex55c0698

89917080 has 128 divisors (see below), whose sum is σ = 311662080. Its totient is φ = 20510720.

The previous prime is 89917031. The next prime is 89917099. The reversal of 89917080 is 8071998.

It is a congruent number.

It is an unprimeable number.

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, 20437 + ... + 24443.

It is an arithmetic number, because the mean of its divisors is an integer number (2434860).

Almost surely, 289917080 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 89917080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155831040).

89917080 is an abundant number, since it is smaller than the sum of its proper divisors (221745000).

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

89917080 is a wasteful number, since it uses less digits than its factorization.

89917080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 89917080 is about 9482.4617056965. The cubic root of 89917080 is about 448.0028034476.

The spelling of 89917080 in words is "eighty-nine million, nine hundred seventeen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4007 4488 5610 7480 8014 11220 12021 16028 20035 22440 24042 32056 40070 44077 48084 60105 68119 80140 88154 96168 120210 132231 136238 160280 176308 204357 220385 240420 264462 272476 340595 352616 408714 440770 480840 528924 544952 661155 681190 749309 817428 881540 1021785 1057848 1322310 1362380 1498618 1634856 1763080 2043570 2247927 2644620 2724760 2997236 3746545 4087140 4495854 5289240 5994472 7493090 8174280 8991708 11239635 14986180 17983416 22479270 29972360 44958540 89917080