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4122096 = 2431137211
BaseRepresentation
bin1111101110010111110000
321202102110020
433232113300
52023401341
6224203440
750015526
oct17562760
97672406
104122096
112365aa0
121469580
13b14314
14794316
15566566
hex3ee5f0

4122096 has 80 divisors (see below), whose sum is σ = 11987328. Its totient is φ = 1209600.

The previous prime is 4122077. The next prime is 4122103. The reversal of 4122096 is 6902214.

4122096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19431 + ... + 19641.

Almost surely, 24122096 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 4122096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993664).

4122096 is an abundant number, since it is smaller than the sum of its proper divisors (7865232).

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

4122096 is a wasteful number, since it uses less digits than its factorization.

4122096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4122096 is about 2030.2945599100. The cubic root of 4122096 is about 160.3390725952.

The spelling of 4122096 in words is "four million, one hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 211 222 264 296 407 422 444 528 592 633 814 844 888 1221 1266 1628 1688 1776 2321 2442 2532 3256 3376 4642 4884 5064 6512 6963 7807 9284 9768 10128 13926 15614 18568 19536 23421 27852 31228 37136 46842 55704 62456 85877 93684 111408 124912 171754 187368 257631 343508 374736 515262 687016 1030524 1374032 2061048 4122096