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96439920 = 24352317471
BaseRepresentation
bin1011011111110…
…00111001110000
320201110122200220
411233320321300
5144142034140
613323013040
72250503643
oct557707160
9221418626
1096439920
114a48a815
122836a180
1316c98255
14cb45a5a
1586eebd0
hex5bf8e70

96439920 has 80 divisors (see below), whose sum is σ = 311980032. Its totient is φ = 24597760.

The previous prime is 96439909. The next prime is 96439921. The reversal of 96439920 is 2993469.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96439921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3216 + ... + 14255.

Almost surely, 296439920 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 96439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

96439920 is an abundant number, since it is smaller than the sum of its proper divisors (215540112).

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

96439920 is a wasteful number, since it uses less digits than its factorization.

96439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17504 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 96439920 is about 9820.3828845926. The cubic root of 96439920 is about 458.5840517705.

The spelling of 96439920 in words is "ninety-six million, four hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 17471 34942 52413 69884 87355 104826 139768 174710 209652 262065 279536 349420 401833 419304 524130 698840 803666 838608 1048260 1205499 1397680 1607332 2009165 2096520 2410998 3214664 4018330 4193040 4821996 6027495 6429328 8036660 9643992 12054990 16073320 19287984 24109980 32146640 48219960 96439920