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1040642120 = 235711513229
BaseRepresentation
bin111110000001101…
…111000001001000
32200112011002121202
4332001233001020
54112401021440
6251132323332
734534212020
oct7601570110
92615132552
101040642120
11494462911
12250613548
1313779a08b
149c2caa80
156155d615
hex3e06f048

1040642120 has 64 divisors (see below), whose sum is σ = 2679091200. Its totient is φ = 356371200.

The previous prime is 1040642117. The next prime is 1040642143. The reversal of 1040642120 is 212460401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1040642092 and 1040642101.

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 15 ways as a sum of consecutive naturals, for example, 320666 + ... + 323894.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

Almost surely, 21040642120 is an apocalyptic number.

1040642120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040642120 is an abundant number, since it is smaller than the sum of its proper divisors (1638449080).

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

1040642120 is a wasteful number, since it uses less digits than its factorization.

1040642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1040642120 is about 32258.9851049285. The cubic root of 1040642120 is about 1013.3678769195.

The spelling of 1040642120 in words is "one billion, forty million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1151 2302 3229 4604 5755 6458 8057 9208 11510 12916 16114 16145 22603 23020 25832 32228 32290 40285 45206 46040 64456 64580 80570 90412 113015 129160 161140 180824 226030 322280 452060 904120 3716579 7433158 14866316 18582895 26016053 29732632 37165790 52032106 74331580 104064212 130080265 148663160 208128424 260160530 520321060 1040642120