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1014256640 = 2105198097
BaseRepresentation
bin111100011101000…
…101010000000000
32121200111120112202
4330131011100000
54034122203030
6244351012332
734064016305
oct7435052000
92550446482
101014256640
11480581031
1224380a0a8
1313218c377
14989bd0ac
155e09a745
hex3c745400

1014256640 has 44 divisors (see below), whose sum is σ = 2433039636. Its totient is φ = 405700608.

The previous prime is 1014256637. The next prime is 1014256679. The reversal of 1014256640 is 466524101.

It can be written as a sum of positive squares in 2 ways, for example, as 752075776 + 262180864 = 27424^2 + 16192^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93929 + ... + 104168.

Almost surely, 21014256640 is an apocalyptic number.

1014256640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014256640 is an abundant number, since it is smaller than the sum of its proper divisors (1418782996).

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

1014256640 is an equidigital number, since it uses as much as digits as its factorization.

1014256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198122 (or 198104 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1014256640 is about 31847.3961259002. The cubic root of 1014256640 is about 1004.7298069889.

The spelling of 1014256640 in words is "one billion, fourteen million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 198097 396194 792388 990485 1584776 1980970 3169552 3961940 6339104 7923880 12678208 15847760 25356416 31695520 50712832 63391040 101425664 126782080 202851328 253564160 507128320 1014256640