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9936096 = 253294383
BaseRepresentation
bin100101111001…
…110011100000
3200200210202120
4211321303200
510020423341
6552544240
7150312132
oct45716340
920623676
109936096
115677155
1233b2080
13209b761
141469052
15d14066
hex979ce0

9936096 has 96 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3085824.

The previous prime is 9936083. The next prime is 9936119. The reversal of 9936096 is 6906399.

9936096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119671 + ... + 119753.

It is an arithmetic number, because the mean of its divisors is an integer number (291060).

Almost surely, 29936096 is an apocalyptic number.

9936096 is a gapful number since it is divisible by the number (96) 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 9936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

9936096 is an abundant number, since it is smaller than the sum of its proper divisors (18005664).

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

9936096 is a wasteful number, since it uses less digits than its factorization.

9936096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 9936096 is about 3152.1573564783. The cubic root of 9936096 is about 214.9835646351.

The spelling of 9936096 in words is "nine million, nine hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 83 86 87 96 116 129 166 172 174 232 249 258 332 344 348 464 498 516 664 688 696 928 996 1032 1247 1328 1376 1392 1992 2064 2407 2494 2656 2784 3569 3741 3984 4128 4814 4988 7138 7221 7482 7968 9628 9976 10707 14276 14442 14964 19256 19952 21414 28552 28884 29928 38512 39904 42828 57104 57768 59856 77024 85656 103501 114208 115536 119712 171312 207002 231072 310503 342624 414004 621006 828008 1242012 1656016 2484024 3312032 4968048 9936096