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96053400 = 233252174373
BaseRepresentation
bin1011011100110…
…10100010011000
320200202000111100
411232122202120
5144042202100
613310431400
72244304032
oct556324230
9220660440
1096053400
114a246383
1228202560
1316b91341
14ca84c52
158675400
hex5b9a898

96053400 has 288 divisors, whose sum is σ = 354285360. Its totient is φ = 23224320.

The previous prime is 96053393. The next prime is 96053401. The reversal of 96053400 is 435069.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96053401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1315764 + ... + 1315836.

Almost surely, 296053400 is an apocalyptic number.

96053400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177142680).

96053400 is an abundant number, since it is smaller than the sum of its proper divisors (258231960).

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

96053400 is a wasteful number, since it uses less digits than its factorization.

96053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 96053400 is about 9800.6836496236. The cubic root of 96053400 is about 457.9705809240.

Adding to 96053400 its reverse (435069), we get a palindrome (96488469).

The spelling of 96053400 in words is "ninety-six million, fifty-three thousand, four hundred".