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96515460 = 223251731541
BaseRepresentation
bin1011100000010…
…11010110000100
320201121111022200
411300023112010
5144201443320
613324354500
72251240116
oct560132604
9221544280
1096515460
114a531548
12283a5a30
1316cc3752
14cb653b6
158717290
hex5c0b584

96515460 has 72 divisors (see below), whose sum is σ = 309994776. Its totient is φ = 24222720.

The previous prime is 96515449. The next prime is 96515473. The reversal of 96515460 is 6451569.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 95296644 = 1104^2 + 9762^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12711 + ... + 18830.

It is an arithmetic number, because the mean of its divisors is an integer number (4305483).

Almost surely, 296515460 is an apocalyptic number.

96515460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96515460 is an abundant number, since it is smaller than the sum of its proper divisors (213479316).

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

96515460 is a wasteful number, since it uses less digits than its factorization.

96515460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31573 (or 31568 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 96515460 is about 9824.2282139616. The cubic root of 96515460 is about 458.7037546158.

The spelling of 96515460 in words is "ninety-six million, five hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 31541 63082 94623 126164 157705 189246 283869 315410 378492 473115 536197 567738 630820 946230 1072394 1135476 1419345 1608591 1892460 2144788 2680985 2838690 3217182 4825773 5361970 5677380 6434364 8042955 9651546 10723940 16085910 19303092 24128865 32171820 48257730 96515460