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1416420 = 223354361
BaseRepresentation
bin101011001110011100100
32122221222000
411121303210
5330311140
650205300
715016335
oct5316344
92587860
101416420
118881a5
12583830
133a7925
1428c28c
151cea30
hex159ce4

1416420 has 96 divisors (see below), whose sum is σ = 4583040. Its totient is φ = 362880.

The previous prime is 1416341. The next prime is 1416433. The reversal of 1416420 is 246141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1416393 and 1416402.

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 31 ways as a sum of consecutive naturals, for example, 23190 + ... + 23250.

It is an arithmetic number, because the mean of its divisors is an integer number (47740).

21416420 is an apocalyptic number.

1416420 is a gapful number since it is divisible by the number (10) 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 1416420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291520).

1416420 is an abundant number, since it is smaller than the sum of its proper divisors (3166620).

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

1416420 is a wasteful number, since it uses less digits than its factorization.

1416420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1416420 is about 1190.1344461866. The cubic root of 1416420 is about 112.3045495221.

It can be divided in two parts, 141 and 6420, that added together give a 8-th power (6561 = 38).

The spelling of 1416420 in words is "one million, four hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 61 86 90 108 122 129 135 172 180 183 215 244 258 270 305 366 387 430 516 540 549 610 645 732 774 860 915 1098 1161 1220 1290 1548 1647 1830 1935 2196 2322 2580 2623 2745 3294 3660 3870 4644 5246 5490 5805 6588 7740 7869 8235 10492 10980 11610 13115 15738 16470 23220 23607 26230 31476 32940 39345 47214 52460 70821 78690 94428 118035 141642 157380 236070 283284 354105 472140 708210 1416420