Search a number
-
+
96145540 = 22517833407
BaseRepresentation
bin1011011101100…
…01000010000100
320200220200212221
411232301002010
5144103124130
613312422124
72245136461
oct556610204
9220820787
1096145540
114a2a9627
1228247944
1316bc426a
14caaa668
15869287a
hex5bb1084

96145540 has 48 divisors (see below), whose sum is σ = 216421632. Its totient is φ = 35749376.

The previous prime is 96145537. The next prime is 96145541. The reversal of 96145540 is 4554169.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 96145496 and 96145505.

It is not an unprimeable number, because it can be changed into a prime (96145541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26517 + ... + 29923.

It is an arithmetic number, because the mean of its divisors is an integer number (4508784).

Almost surely, 296145540 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 96145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108210816).

96145540 is an abundant number, since it is smaller than the sum of its proper divisors (120276092).

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

96145540 is a wasteful number, since it uses less digits than its factorization.

96145540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3514 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 96145540 is about 9805.3832153568. The cubic root of 96145540 is about 458.1169714519.

The spelling of 96145540 in words is "ninety-six million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 332 340 415 830 1411 1660 2822 3407 5644 6814 7055 13628 14110 17035 28220 34070 57919 68140 115838 231676 282781 289595 565562 579190 1131124 1158380 1413905 2827810 4807277 5655620 9614554 19229108 24036385 48072770 96145540