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101495424 = 273534987
BaseRepresentation
bin1100000110010…
…11001010000000
321001222111112210
412003023022000
5201440323144
614023222120
72341461012
oct603131200
9231874483
10101495424
1152323018
1229ba7940
1318048384
14d6a01b2
158d9cab9
hex60cb280

101495424 has 64 divisors (see below), whose sum is σ = 274739040. Its totient is φ = 33186816.

The previous prime is 101495417. The next prime is 101495441. The reversal of 101495424 is 424594101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101495391 and 101495400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17859 + ... + 22845.

Almost surely, 2101495424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137369520).

101495424 is an abundant number, since it is smaller than the sum of its proper divisors (173243616).

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

101495424 is an equidigital number, since it uses as much as digits as its factorization.

101495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 101495424 is about 10074.4937341784. The cubic root of 101495424 is about 466.4611594001.

The spelling of 101495424 in words is "one hundred one million, four hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 4987 5088 6784 9974 10176 14961 19948 20352 29922 39896 59844 79792 119688 159584 239376 264311 319168 478752 528622 638336 792933 957504 1057244 1585866 1915008 2114488 3171732 4228976 6343464 8457952 12686928 16915904 25373856 33831808 50747712 101495424