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96095920 = 24519191331
BaseRepresentation
bin1011011101001…
…00111010110000
320200211011211011
411232210322300
5144100032140
613311400304
72244542014
oct556447260
9220734734
1096095920
114a275318
1228223094
1316ba77bb
14ca96544
158682cea
hex5ba4eb0

96095920 has 80 divisors (see below), whose sum is σ = 237127680. Its totient is φ = 36115200.

The previous prime is 96095903. The next prime is 96095921. The reversal of 96095920 is 2959069.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96095921) 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, 290155 + ... + 290485.

It is an arithmetic number, because the mean of its divisors is an integer number (2964096).

Almost surely, 296095920 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 96095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118563840).

96095920 is an abundant number, since it is smaller than the sum of its proper divisors (141031760).

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

96095920 is a wasteful number, since it uses less digits than its factorization.

96095920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 40.

The square root of 96095920 is about 9802.8526460414. The cubic root of 96095920 is about 458.0381476333.

The spelling of 96095920 in words is "ninety-six million, ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 191 304 331 380 382 662 760 764 955 1324 1520 1528 1655 1910 2648 3056 3310 3629 3820 5296 6289 6620 7258 7640 12578 13240 14516 15280 18145 25156 26480 29032 31445 36290 50312 58064 62890 63221 72580 100624 125780 126442 145160 251560 252884 290320 316105 503120 505768 632210 1011536 1201199 1264420 2402398 2528840 4804796 5057680 6005995 9609592 12011990 19219184 24023980 48047960 96095920