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1040022120 = 233527131981
BaseRepresentation
bin111101111111010…
…111101001101000
32200110222121010210
4331333113221220
54112221201440
6251111141120
734526020314
oct7577275150
92613877123
101040022120
1149407a015
122503747a0
13137610b07
149c1a8b44
1561489a80
hex3dfd7a68

1040022120 has 64 divisors (see below), whose sum is σ = 3131677440. Its totient is φ = 276307200.

The previous prime is 1040022101. The next prime is 1040022143. The reversal of 1040022120 is 212200401.

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 = 1040022096 and 1040022105.

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, 16530 + ... + 48510.

It is an arithmetic number, because the mean of its divisors is an integer number (48932460).

Almost surely, 21040022120 is an apocalyptic number.

1040022120 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 1040022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565838720).

1040022120 is an abundant number, since it is smaller than the sum of its proper divisors (2091655320).

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

1040022120 is a wasteful number, since it uses less digits than its factorization.

1040022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32266 (or 32262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1040022120 is about 32249.3739474118. The cubic root of 1040022120 is about 1013.1665868096.

Adding to 1040022120 its reverse (212200401), we get a palindrome (1252222521).

The spelling of 1040022120 in words is "one billion, forty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 31981 32520 63962 95943 127924 159905 191886 255848 319810 383772 479715 639620 767544 959430 1279240 1918860 3837720 8666851 17333702 26000553 34667404 43334255 52001106 69334808 86668510 104002212 130002765 173337020 208004424 260005530 346674040 520011060 1040022120