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120041416 = 231123127467
BaseRepresentation
bin1110010011110…
…10111111001000
322100212201212101
413021322333020
5221212311131
615524523144
72655222655
oct711727710
9270781771
10120041416
116183a990
12342504b4
131bb3ca31
1411d2ac2c
15a812c61
hex727afc8

120041416 has 64 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 51670080.

The previous prime is 120041407. The next prime is 120041417. The reversal of 120041416 is 614140021.

It is a junction number, because it is equal to n+sod(n) for n = 120041393 and 120041402.

It is not an unprimeable number, because it can be changed into a prime (120041417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256815 + ... + 257281.

It is an arithmetic number, because the mean of its divisors is an integer number (4043520).

Almost surely, 2120041416 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 120041416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392640).

120041416 is an abundant number, since it is smaller than the sum of its proper divisors (138743864).

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

120041416 is a wasteful number, since it uses less digits than its factorization.

120041416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 120041416 is about 10956.3413601439. The cubic root of 120041416 is about 493.2991531388.

Adding to 120041416 its reverse (614140021), we get a palindrome (734181437).

The spelling of 120041416 in words is "one hundred twenty million, forty-one thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 127 184 253 254 467 506 508 934 1012 1016 1397 1868 2024 2794 2921 3736 5137 5588 5842 10274 10741 11176 11684 20548 21482 23368 32131 41096 42964 59309 64262 85928 118151 118618 128524 236302 237236 257048 472604 474472 652399 945208 1304798 1364107 2609596 2728214 5219192 5456428 10912856 15005177 30010354 60020708 120041416