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120244416 = 2631573989
BaseRepresentation
bin1110010101011…
…00100011000000
322101021001022220
413022230203000
5221240310131
615533131040
72660026545
oct712544300
9271231286
10120244416
1161969456
1234329a80
131bbb1256
1411d80bcc
15a852e96
hex72ac8c0

120244416 has 56 divisors (see below), whose sum is σ = 320253360. Its totient is φ = 39816192.

The previous prime is 120244387. The next prime is 120244433. The reversal of 120244416 is 614442021.

It is a happy number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28150 + ... + 32138.

It is an arithmetic number, because the mean of its divisors is an integer number (5718810).

Almost surely, 2120244416 is an apocalyptic number.

120244416 is a gapful number since it is divisible by the number (16) 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 120244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160126680).

120244416 is an abundant number, since it is smaller than the sum of its proper divisors (200008944).

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

120244416 is a wasteful number, since it uses less digits than its factorization.

120244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4161 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 120244416 is about 10965.6014882906. The cubic root of 120244416 is about 493.5770664796.

Adding to 120244416 its reverse (614442021), we get a palindrome (734686437).

The spelling of 120244416 in words is "one hundred twenty million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 3989 5024 7536 7978 10048 11967 15072 15956 23934 30144 31912 47868 63824 95736 127648 191472 255296 382944 626273 765888 1252546 1878819 2505092 3757638 5010184 7515276 10020368 15030552 20040736 30061104 40081472 60122208 120244416