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4020096 = 27319229
BaseRepresentation
bin1111010101011110000000
321120020112110
433111132000
52012120341
6222055320
746112253
oct17253600
97506473
104020096
1122a63a3
12141a540
13aa9a72
1476909a
15546216
hex3d5780

4020096 has 96 divisors (see below), whose sum is σ = 11658600. Its totient is φ = 1225728.

The previous prime is 4020031. The next prime is 4020119. The reversal of 4020096 is 6900204.

4020096 is digitally balanced in base 2, because in such base 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 super-2 number, since 2×40200962 = 32322343698432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138610 + ... + 138638.

Almost surely, 24020096 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 4020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829300).

4020096 is an abundant number, since it is smaller than the sum of its proper divisors (7638504).

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

4020096 is a wasteful number, since it uses less digits than its factorization.

4020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4020096 is about 2005.0177056575. The cubic root of 4020096 is about 159.0054980101.

The spelling of 4020096 in words is "four million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 361 384 456 464 551 608 696 722 912 928 1083 1102 1216 1392 1444 1653 1824 1856 2166 2204 2432 2784 2888 3306 3648 3712 4332 4408 5568 5776 6612 7296 8664 8816 10469 11136 11552 13224 17328 17632 20938 23104 26448 31407 34656 35264 41876 46208 52896 62814 69312 70528 83752 105792 125628 138624 167504 211584 251256 335008 502512 670016 1005024 1340032 2010048 4020096