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96755490 = 232513412017
BaseRepresentation
bin1011100010001…
…01111100100010
320202001200120200
411301011330202
5144232133430
613333450030
72253256656
oct561057442
9222050520
1096755490
114a685917
12284a0916
1317078a90
14cbc8a66
158763460
hex5c45f22

96755490 has 96 divisors (see below), whose sum is σ = 277660656. Its totient is φ = 23224320.

The previous prime is 96755471. The next prime is 96755501. The reversal of 96755490 is 9455769.

It is a happy number.

96755490 is a `hidden beast` number, since 9 + 6 + 7 + 554 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16670889 + 80084601 = 4083^2 + 8949^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46962 + ... + 48978.

Almost surely, 296755490 is an apocalyptic number.

96755490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96755490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138830328).

96755490 is an abundant number, since it is smaller than the sum of its proper divisors (180905166).

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

96755490 is a wasteful number, since it uses less digits than its factorization.

96755490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 96755490 is about 9836.4368548779. The cubic root of 96755490 is about 459.0836989775.

The spelling of 96755490 in words is "ninety-six million, seven hundred fifty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2017 2665 3198 3690 4034 4797 5330 6051 7995 9594 10085 12102 15990 18153 20170 23985 26221 30255 36306 47970 52442 60510 78663 82697 90765 131105 157326 165394 181530 235989 248091 262210 393315 413485 471978 496182 744273 786630 826970 1075061 1179945 1240455 1488546 2150122 2359890 2480910 3225183 3721365 5375305 6450366 7442730 9675549 10750610 16125915 19351098 32251830 48377745 96755490