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1023420 = 223537461
BaseRepresentation
bin11111001110110111100
31220222212110
43321312330
5230222140
633534020
711461506
oct3716674
91828773
101023420
11639a02
12414310
1329aa98
141c8d76
15153380
hexf9dbc

1023420 has 48 divisors (see below), whose sum is σ = 2949408. Its totient is φ = 264960.

The previous prime is 1023419. The next prime is 1023461. The reversal of 1023420 is 243201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1023396 and 1023405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1990 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (61446).

21023420 is an apocalyptic number.

1023420 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 1023420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474704).

1023420 is an abundant number, since it is smaller than the sum of its proper divisors (1925988).

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

1023420 is a wasteful number, since it uses less digits than its factorization.

1023420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1023420 is about 1011.6422292491. The cubic root of 1023420 is about 100.7746503400.

Adding to 1023420 its reverse (243201), we get a palindrome (1266621).

The spelling of 1023420 in words is "one million, twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 461 555 740 922 1110 1383 1844 2220 2305 2766 4610 5532 6915 9220 13830 17057 27660 34114 51171 68228 85285 102342 170570 204684 255855 341140 511710 1023420