Search a number
-
+
1022140 = 22573149
BaseRepresentation
bin11111001100010111100
31220221010001
43321202330
5230202030
633524044
711455000
oct3714274
91827101
101022140
11638a49
12413624
1329a322
141c8700
15152cca
hexf98bc

1022140 has 48 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 348096.

The previous prime is 1022137. The next prime is 1022141. The reversal of 1022140 is 412201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022141) 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, 6786 + ... + 6934.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

21022140 is an apocalyptic number.

1022140 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 1022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

1022140 is an abundant number, since it is smaller than the sum of its proper divisors (1497860).

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

1022140 is a wasteful number, since it uses less digits than its factorization.

1022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1022140 is about 1011.0093965933. The cubic root of 1022140 is about 100.7326195782.

Adding to 1022140 its reverse (412201), we get a palindrome (1434341).

The spelling of 1022140 in words is "one million, twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 343 490 596 686 745 980 1043 1372 1490 1715 2086 2980 3430 4172 5215 6860 7301 10430 14602 20860 29204 36505 51107 73010 102214 146020 204428 255535 511070 1022140