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96738135 = 35132311231
BaseRepresentation
bin1011100010000…
…01101101010111
320202000210202220
411301001231113
5144231110020
613333233423
72253155244
oct561015527
9222023686
1096738135
114a67387a
1228492873
1317070c00
14cbc25cb
15875d240
hex5c41b57

96738135 has 48 divisors (see below), whose sum is σ = 173150208. Its totient is φ = 46051200.

The previous prime is 96738133. The next prime is 96738157. The reversal of 96738135 is 53183769.

It is not a de Polignac number, because 96738135 - 21 = 96738133 is a prime.

Its product of digits (136080) is a multiple of the sum of its prime factors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96738133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77970 + ... + 79200.

It is an arithmetic number, because the mean of its divisors is an integer number (3607296).

Almost surely, 296738135 is an apocalyptic number.

96738135 is a deficient number, since it is larger than the sum of its proper divisors (76412073).

96738135 is a wasteful number, since it uses less digits than its factorization.

96738135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 96738135 is about 9835.5546361148. The cubic root of 96738135 is about 459.0562487728.

The spelling of 96738135 in words is "ninety-six million, seven hundred thirty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 31 39 65 93 155 169 195 403 465 507 845 1209 1231 2015 2535 3693 5239 6045 6155 15717 16003 18465 26195 38161 48009 78585 80015 114483 190805 208039 240045 496093 572415 624117 1040195 1488279 2480465 3120585 6449209 7441395 19347627 32246045 96738135