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89319780 = 223351121367
BaseRepresentation
bin1010101001011…
…10100101100100
320020001220201000
411110232211210
5140331213110
612510233300
72133130344
oct524564544
9206056630
1089319780
1146467300
1225ab5830
1315674454
14bc10d24
157c951c0
hex552e964

89319780 has 144 divisors (see below), whose sum is σ = 305665920. Its totient is φ = 21637440.

The previous prime is 89319767. The next prime is 89319793. The reversal of 89319780 is 8791398.

It is an interprime number because it is at equal distance from previous prime (89319767) and next prime (89319793).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64657 + ... + 66023.

It is an arithmetic number, because the mean of its divisors is an integer number (2122680).

Almost surely, 289319780 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 89319780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152832960).

89319780 is an abundant number, since it is smaller than the sum of its proper divisors (216346140).

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

89319780 is a wasteful number, since it uses less digits than its factorization.

89319780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 89319780 is about 9450.9142414901. The cubic root of 89319780 is about 447.0086030505.

The spelling of 89319780 in words is "eighty-nine million, three hundred nineteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1367 1452 1485 1815 1980 2178 2420 2734 2970 3267 3630 4101 4356 5445 5468 5940 6534 6835 7260 8202 10890 12303 13068 13670 15037 16335 16404 20505 21780 24606 27340 30074 32670 36909 41010 45111 49212 60148 61515 65340 73818 75185 82020 90222 123030 135333 147636 150370 165407 180444 184545 225555 246060 270666 300740 330814 369090 405999 451110 496221 541332 661628 676665 738180 811998 827035 902220 992442 1353330 1488663 1623996 1654070 1984884 2029995 2481105 2706660 2977326 3308140 4059990 4465989 4962210 5954652 7443315 8119980 8931978 9924420 14886630 17863956 22329945 29773260 44659890 89319780