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1407420 = 2232571117
BaseRepresentation
bin101010111100110111100
32122111121200
411113212330
5330014140
650055500
714651160
oct5274674
92574550
101407420
11881463
1257a590
133a37c1
14288ca0
151cc030
hex1579bc

1407420 has 72 divisors (see below), whose sum is σ = 4883424. Its totient is φ = 321408.

The previous prime is 1407409. The next prime is 1407449. The reversal of 1407420 is 247041.

It is a happy number.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1407393 and 1407402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 702 + ... + 1818.

21407420 is an apocalyptic number.

1407420 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 1407420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441712).

1407420 is an abundant number, since it is smaller than the sum of its proper divisors (3476004).

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

1407420 is a wasteful number, since it uses less digits than its factorization.

1407420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1407420 is about 1186.3473353112. The cubic root of 1407420 is about 112.0661811238.

The spelling of 1407420 in words is "one million, four hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1117 1260 2234 3351 4468 5585 6702 7819 10053 11170 13404 15638 16755 20106 22340 23457 31276 33510 39095 40212 46914 50265 67020 70371 78190 93828 100530 117285 140742 156380 201060 234570 281484 351855 469140 703710 1407420