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96166620 = 2232511172857
BaseRepresentation
bin1011011101101…
…10001011011100
320200221202210200
411232312023130
5144104312440
613313103500
72245255104
oct556661334
9220852720
1096166620
114a313450
1228257b90
1316c00a34
14cab4204
158698c30
hex5bb62dc

96166620 has 144 divisors (see below), whose sum is σ = 337061088. Its totient is φ = 21934080.

The previous prime is 96166613. The next prime is 96166627. The reversal of 96166620 is 2666169.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96166613) and next prime (96166627).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96166627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32232 + ... + 35088.

It is an arithmetic number, because the mean of its divisors is an integer number (2340702).

Almost surely, 296166620 is an apocalyptic number.

96166620 is a gapful number since it is divisible by the number (90) 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 96166620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168530544).

96166620 is an abundant number, since it is smaller than the sum of its proper divisors (240894468).

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

96166620 is a wasteful number, since it uses less digits than its factorization.

96166620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96166620 is about 9806.4580761863. The cubic root of 96166620 is about 458.1504498641.

The spelling of 96166620 in words is "ninety-six million, one hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 2857 3060 3366 3740 5610 5714 6732 8415 8571 11220 11428 14285 16830 17142 25713 28570 31427 33660 34284 42855 48569 51426 57140 62854 85710 94281 97138 102852 125708 128565 145707 157135 171420 188562 194276 242845 257130 282843 291414 314270 377124 437121 471405 485690 514260 534259 565686 582828 628540 728535 874242 942810 971380 1068518 1131372 1414215 1457070 1602777 1748484 1885620 2137036 2185605 2671295 2828430 2914140 3205554 4371210 4808331 5342590 5656860 6411108 8013885 8742420 9616662 10685180 16027770 19233324 24041655 32055540 48083310 96166620