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96126930 = 23254359421
BaseRepresentation
bin1011011101011…
…00011111010010
320200212202100200
411232230133102
5144102030210
613312200030
72245031304
oct556543722
9220782320
1096126930
114a296649
1228239016
1316bb8953
14caa3974
15868c0c0
hex5bac7d2

96126930 has 96 divisors (see below), whose sum is σ = 260694720. Its totient is φ = 24554880.

The previous prime is 96126923. The next prime is 96126937. The reversal of 96126930 is 3962169.

96126930 is a `hidden beast` number, since 9 + 612 + 6 + 9 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (96126923) and next prime (96126937).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96126937) 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, 228120 + ... + 228540.

It is an arithmetic number, because the mean of its divisors is an integer number (2715570).

Almost surely, 296126930 is an apocalyptic number.

96126930 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 96126930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130347360).

96126930 is an abundant number, since it is smaller than the sum of its proper divisors (164567790).

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

96126930 is a wasteful number, since it uses less digits than its factorization.

96126930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96126930 is about 9804.4342009113. The cubic root of 96126930 is about 458.0874117276.

The spelling of 96126930 in words is "ninety-six million, one hundred twenty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 59 86 90 118 129 177 215 258 295 354 387 421 430 531 590 645 774 842 885 1062 1263 1290 1770 1935 2105 2526 2537 2655 3789 3870 4210 5074 5310 6315 7578 7611 12630 12685 15222 18103 18945 22833 24839 25370 36206 37890 38055 45666 49678 54309 74517 76110 90515 108618 114165 124195 149034 162927 181030 223551 228330 248390 271545 325854 372585 447102 543090 745170 814635 1068077 1117755 1629270 2136154 2235510 3204231 5340385 6408462 9612693 10680770 16021155 19225386 32042310 48063465 96126930