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91982070 = 23251779761
BaseRepresentation
bin1010111101110…
…00100011110110
320102002011200100
411132320203312
5142021411240
613043254530
72164556205
oct536704366
9212064610
1091982070
1147a15544
122697a446
131609717b
14c30523c
15811de30
hex57b88f6

91982070 has 96 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 22763520.

The previous prime is 91982069. The next prime is 91982081. The reversal of 91982070 is 7028919.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120490 + ... + 121250.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 291982070 is an apocalyptic number.

91982070 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91982070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

91982070 is an abundant number, since it is smaller than the sum of its proper divisors (164781450).

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

91982070 is a wasteful number, since it uses less digits than its factorization.

91982070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 91982070 is about 9590.7283352204. The cubic root of 91982070 is about 451.4064146750.

The spelling of 91982070 in words is "ninety-one million, nine hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 79 85 90 102 153 158 170 237 255 306 395 474 510 711 761 765 790 1185 1343 1422 1522 1530 2283 2370 2686 3555 3805 4029 4566 6715 6849 7110 7610 8058 11415 12087 12937 13430 13698 20145 22830 24174 25874 34245 38811 40290 60119 60435 64685 68490 77622 116433 120238 120870 129370 180357 194055 232866 300595 360714 388110 541071 582165 601190 901785 1022023 1082142 1164330 1803570 2044046 2705355 3066069 5110115 5410710 6132138 9198207 10220230 15330345 18396414 30660690 45991035 91982070