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96086430 = 232511711367
BaseRepresentation
bin1011011101000…
…10100110011110
320200210200210200
411232202212132
5144044231210
613311244330
72244502236
oct556424636
9220720720
1096086430
114a269180
12282196a6
1316ba339b
14ca92cc6
1586800c0
hex5ba299e

96086430 has 96 divisors (see below), whose sum is σ = 276576768. Its totient is φ = 22948800.

The previous prime is 96086413. The next prime is 96086437. The reversal of 96086430 is 3468069.

96086430 is a `hidden beast` number, since 9 + 6 + 0 + 8 + 643 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96086437) 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, 69607 + ... + 70973.

It is an arithmetic number, because the mean of its divisors is an integer number (2881008).

Almost surely, 296086430 is an apocalyptic number.

96086430 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 96086430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138288384).

96086430 is an abundant number, since it is smaller than the sum of its proper divisors (180490338).

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

96086430 is a wasteful number, since it uses less digits than its factorization.

96086430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96086430 is about 9802.3685913151. The cubic root of 96086430 is about 458.0230692091.

The spelling of 96086430 in words is "ninety-six million, eighty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 198 213 330 355 426 495 639 710 781 990 1065 1278 1367 1562 2130 2343 2734 3195 3905 4101 4686 6390 6835 7029 7810 8202 11715 12303 13670 14058 15037 20505 23430 24606 30074 35145 41010 45111 61515 70290 75185 90222 97057 123030 135333 150370 194114 225555 270666 291171 451110 485285 582342 676665 873513 970570 1067627 1353330 1455855 1747026 2135254 2911710 3202881 4367565 5338135 6405762 8735130 9608643 10676270 16014405 19217286 32028810 48043215 96086430