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4020192 = 25351147
BaseRepresentation
bin1111010101011111100000
321120020200000
433111133200
52012121232
6222100000
746112451
oct17253740
97506600
104020192
1122a6480
12141a600
13aa9b17
14769128
1554627c
hex3d57e0

4020192 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1192320.

The previous prime is 4020167. The next prime is 4020197. The reversal of 4020192 is 2910204.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020197) 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 23 ways as a sum of consecutive naturals, for example, 85513 + ... + 85559.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 24020192 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 4020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4020192 is an abundant number, since it is smaller than the sum of its proper divisors (9188640).

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

4020192 is a wasteful number, since it uses less digits than its factorization.

4020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4020192 is about 2005.0416454528. The cubic root of 4020192 is about 159.0067636852.

Adding to 4020192 its reverse (2910204), we get a palindrome (6930396).

The spelling of 4020192 in words is "four million, twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 66 72 81 88 94 96 99 108 132 141 144 162 176 188 198 216 243 264 282 288 297 324 352 376 396 423 432 486 517 528 564 594 648 752 792 846 864 891 972 1034 1056 1128 1188 1269 1296 1504 1551 1584 1692 1782 1944 2068 2256 2376 2538 2592 2673 3102 3168 3384 3564 3807 3888 4136 4512 4653 4752 5076 5346 6204 6768 7128 7614 7776 8272 9306 9504 10152 10692 11421 12408 13536 13959 14256 15228 16544 18612 20304 21384 22842 24816 27918 28512 30456 37224 40608 41877 42768 45684 49632 55836 60912 74448 83754 85536 91368 111672 121824 125631 148896 167508 182736 223344 251262 335016 365472 446688 502524 670032 1005048 1340064 2010096 4020192