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96133120 = 21352347
BaseRepresentation
bin1011011101011…
…10000000000000
320200220001211221
411232232000000
5144102224440
613312244424
72245055326
oct556560000
9220801757
1096133120
114a2a0266
1228240714
1316bbb705
14caa5d16
15868dd4a
hex5bae000

96133120 has 56 divisors (see below), whose sum is σ = 230803704. Its totient is φ = 38436864.

The previous prime is 96133109. The next prime is 96133129. The reversal of 96133120 is 2133169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96133129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39787 + ... + 42133.

Almost surely, 296133120 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 96133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115401852).

96133120 is an abundant number, since it is smaller than the sum of its proper divisors (134670584).

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

96133120 is an equidigital number, since it uses as much as digits as its factorization.

96133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 96133120 is about 9804.7498693235. The cubic root of 96133120 is about 458.0972442140.

Adding to 96133120 its reverse (2133169), we get a palindrome (98266289).

The spelling of 96133120 in words is "ninety-six million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2347 2560 4096 4694 5120 8192 9388 10240 11735 18776 20480 23470 37552 40960 46940 75104 93880 150208 187760 300416 375520 600832 751040 1201664 1502080 2403328 3004160 4806656 6008320 9613312 12016640 19226624 24033280 48066560 96133120