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96540336 = 2434163457
BaseRepresentation
bin1011100000100…
…01011010110000
320201122202110000
411300101122300
5144203242321
613325110000
72251402464
oct560213260
9221582400
1096540336
114a549202
12283b8300
1317001b79
14cb704a4
15871e826
hex5c116b0

96540336 has 100 divisors (see below), whose sum is σ = 281745112. Its totient is φ = 31912704.

The previous prime is 96540329. The next prime is 96540341. The reversal of 96540336 is 63304569.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96540336.

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 19 ways as a sum of consecutive naturals, for example, 211020 + ... + 211476.

Almost surely, 296540336 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 96540336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140872556).

96540336 is an abundant number, since it is smaller than the sum of its proper divisors (185204776).

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

96540336 is a wasteful number, since it uses less digits than its factorization.

96540336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 96540336 is about 9825.4941860448. The cubic root of 96540336 is about 458.7431601660.

The spelling of 96540336 in words is "ninety-six million, five hundred forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 163 216 324 326 432 457 489 648 652 914 978 1296 1304 1371 1467 1828 1956 2608 2742 2934 3656 3912 4113 4401 5484 5868 7312 7824 8226 8802 10968 11736 12339 13203 16452 17604 21936 23472 24678 26406 32904 35208 37017 49356 52812 65808 70416 74034 74491 98712 105624 148068 148982 197424 211248 223473 296136 297964 446946 592272 595928 670419 893892 1191856 1340838 1787784 2011257 2681676 3575568 4022514 5363352 6033771 8045028 10726704 12067542 16090056 24135084 32180112 48270168 96540336