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4123152 = 24321119137
BaseRepresentation
bin1111101110101000010000
321202110220100
433232220100
52023420102
6224212400
750021565
oct17565020
97673810
104123152
112366870
12146a100
13b14947
1479486c
15566a1c
hex3eea10

4123152 has 120 divisors (see below), whose sum is σ = 13347360. Its totient is φ = 1175040.

The previous prime is 4123127. The next prime is 4123153. The reversal of 4123152 is 2513214.

4123152 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123153) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 30028 + ... + 30164.

It is an arithmetic number, because the mean of its divisors is an integer number (111228).

Almost surely, 24123152 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 4123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673680).

4123152 is an abundant number, since it is smaller than the sum of its proper divisors (9224208).

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

4123152 is a wasteful number, since it uses less digits than its factorization.

4123152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4123152 is about 2030.5546040429. The cubic root of 4123152 is about 160.3527633328.

Adding to 4123152 its reverse (2513214), we get a palindrome (6636366).

The spelling of 4123152 in words is "four million, one hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 137 144 152 171 176 198 209 228 264 274 304 342 396 411 418 456 528 548 627 684 792 822 836 912 1096 1233 1254 1368 1507 1584 1644 1672 1881 2192 2466 2508 2603 2736 3014 3288 3344 3762 4521 4932 5016 5206 6028 6576 7524 7809 9042 9864 10032 10412 12056 13563 15048 15618 18084 19728 20824 23427 24112 27126 28633 30096 31236 36168 41648 46854 54252 57266 62472 72336 85899 93708 108504 114532 124944 171798 187416 217008 229064 257697 343596 374832 458128 515394 687192 1030788 1374384 2061576 4123152