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120280416 = 2531252921
BaseRepresentation
bin1110010101101…
…01010101100000
322101022212201020
413022311111200
5221242433131
615534005440
72660236524
oct712652540
9271285636
10120280416
1161993503
1234346880
131bbc4759
1411d8dd84
15a85d996
hex72b5560

120280416 has 24 divisors (see below), whose sum is σ = 315736344. Its totient is φ = 40093440.

The previous prime is 120280411. The next prime is 120280441. The reversal of 120280416 is 614082021.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120280411) 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 3 ways as a sum of consecutive naturals, for example, 626365 + ... + 626556.

It is an arithmetic number, because the mean of its divisors is an integer number (13155681).

Almost surely, 2120280416 is an apocalyptic number.

120280416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120280416 is an abundant number, since it is smaller than the sum of its proper divisors (195455928).

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

120280416 is a wasteful number, since it uses less digits than its factorization.

120280416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252934 (or 1252926 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 120280416 is about 10967.2428622694. The cubic root of 120280416 is about 493.6263189439.

It can be divided in two parts, 1202 and 80416, that added together give a palindrome (81618).

The spelling of 120280416 in words is "one hundred twenty million, two hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1252921 2505842 3758763 5011684 7517526 10023368 15035052 20046736 30070104 40093472 60140208 120280416