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4664120 = 23517193
BaseRepresentation
bin10001110010101100111000
322202221222012
4101302230320
52143222440
6243545052
754434006
oct21625470
98687865
104664120
1126a624a
12168b188
13c73c46
14895a76
15621e65
hex472b38

4664120 has 64 divisors (see below), whose sum is σ = 11728800. Its totient is φ = 1663488.

The previous prime is 4664117. The next prime is 4664129. The reversal of 4664120 is 214664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664129) 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 15 ways as a sum of consecutive naturals, for example, 245471 + ... + 245489.

Almost surely, 24664120 is an apocalyptic number.

4664120 is a gapful number since it is divisible by the number (40) 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 4664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864400).

4664120 is an abundant number, since it is smaller than the sum of its proper divisors (7064680).

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

4664120 is a wasteful number, since it uses less digits than its factorization.

4664120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4664120 is about 2159.6573802342. The cubic root of 4664120 is about 167.0795275420.

Adding to 4664120 its reverse (214664), we get a palindrome (4878784).

The spelling of 4664120 in words is "four million, six hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 361 380 646 680 722 760 1292 1444 1615 1805 2584 2888 3230 3610 6137 6460 6859 7220 12274 12920 13718 14440 24548 27436 30685 34295 49096 54872 61370 68590 116603 122740 137180 233206 245480 274360 466412 583015 932824 1166030 2332060 4664120