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96147540 = 22335263677
BaseRepresentation
bin1011011101100…
…01100001010100
320200220210122000
411232301201110
5144103210130
613312435300
72245145346
oct556614124
9220823560
1096147540
114a300085
1228248b30
1316bc5148
14caab296
158693260
hex5bb1854

96147540 has 96 divisors (see below), whose sum is σ = 300706560. Its totient is φ = 25504128.

The previous prime is 96147539. The next prime is 96147587. The reversal of 96147540 is 4574169.

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

It is a junction number, because it is equal to n+sod(n) for n = 96147495 and 96147504.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 141682 + ... + 142358.

It is an arithmetic number, because the mean of its divisors is an integer number (3132360).

Almost surely, 296147540 is an apocalyptic number.

96147540 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 96147540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150353280).

96147540 is an abundant number, since it is smaller than the sum of its proper divisors (204559020).

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

96147540 is a wasteful number, since it uses less digits than its factorization.

96147540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 96147540 is about 9805.4851996217. The cubic root of 96147540 is about 458.1201479819.

The spelling of 96147540 in words is "ninety-six million, one hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 677 789 1052 1315 1354 1578 2031 2367 2630 2708 3156 3385 3945 4062 4734 5260 6093 6770 7101 7890 8124 9468 10155 11835 12186 13540 14202 15780 18279 20310 23670 24372 28404 30465 35505 36558 40620 47340 60930 71010 73116 91395 121860 142020 178051 182790 356102 365580 534153 712204 890255 1068306 1602459 1780510 2136612 2670765 3204918 3561020 4807377 5341530 6409836 8012295 9614754 10683060 16024590 19229508 24036885 32049180 48073770 96147540