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1022385 = 357213107
BaseRepresentation
bin11111001100110110001
31220221110010
43321212301
5230204020
633525133
711455500
oct3714661
91827403
101022385
11639151
124137a9
1329a480
141c8837
15152de0
hexf99b1

1022385 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 427392.

The previous prime is 1022383. The next prime is 1022387. The reversal of 1022385 is 5832201.

It is an interprime number because it is at equal distance from previous prime (1022383) and next prime (1022387).

It is not a de Polignac number, because 1022385 - 21 = 1022383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1022381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9502 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

21022385 is an apocalyptic number.

1022385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1022385 is an abundant number, since it is smaller than the sum of its proper divisors (1046031).

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

1022385 is a wasteful number, since it uses less digits than its factorization.

1022385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1022385 is about 1011.1305553686. The cubic root of 1022385 is about 100.7406672430.

Adding to 1022385 its reverse (5832201), we get a palindrome (6854586).

The spelling of 1022385 in words is "one million, twenty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 107 147 195 245 273 321 455 535 637 735 749 1365 1391 1605 1911 2247 3185 3745 4173 5243 6955 9555 9737 11235 15729 20865 26215 29211 48685 68159 78645 146055 204477 340795 1022385