Search a number
-
+
96755000 = 235437523
BaseRepresentation
bin1011100010001…
…01110100111000
320202001122220112
411301011310320
5144232130000
613333443452
72253255356
oct561056470
9222048815
1096755000
114a685511
12284a0588
13170787a4
14cbc87d6
158763235
hex5c45d38

96755000 has 80 divisors (see below), whose sum is σ = 233269080. Its totient is φ = 37584000.

The previous prime is 96754979. The next prime is 96755027. The reversal of 96755000 is 55769.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 184739 + ... + 185261.

Almost surely, 296755000 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 96755000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116634540).

96755000 is an abundant number, since it is smaller than the sum of its proper divisors (136514080).

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

96755000 is a wasteful number, since it uses less digits than its factorization.

96755000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 96755000 is about 9836.4119474532. The cubic root of 96755000 is about 459.0829239951.

The spelling of 96755000 in words is "ninety-six million, seven hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 523 625 740 925 1000 1046 1250 1480 1850 2092 2500 2615 3700 4184 4625 5000 5230 7400 9250 10460 13075 18500 19351 20920 23125 26150 37000 38702 46250 52300 65375 77404 92500 96755 104600 130750 154808 185000 193510 261500 326875 387020 483775 523000 653750 774040 967550 1307500 1935100 2418875 2615000 3870200 4837750 9675500 12094375 19351000 24188750 48377500 96755000