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1012004240 = 24513973081
BaseRepresentation
bin111100010100011…
…111010110010000
32121112021010211112
4330110133112100
54033033113430
6244230432452
734035615452
oct7424372620
92545233745
101012004240
1147a282845
12242b02728
131318810a0
14985942d2
155dca3195
hex3c51f590

1012004240 has 40 divisors (see below), whose sum is σ = 2533905528. Its totient is φ = 373662720.

The previous prime is 1012004179. The next prime is 1012004261. The reversal of 1012004240 is 424002101.

1012004240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 998812816 = 3632^2 + 31604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485501 + ... + 487580.

Almost surely, 21012004240 is an apocalyptic number.

1012004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012004240 is an abundant number, since it is smaller than the sum of its proper divisors (1521901288).

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

1012004240 is a wasteful number, since it uses less digits than its factorization.

1012004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973107 (or 973101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1012004240 is about 31812.0140827330. The cubic root of 1012004240 is about 1003.9855079574.

Adding to 1012004240 its reverse (424002101), we get a palindrome (1436006341).

The spelling of 1012004240 in words is "one billion, twelve million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 973081 1946162 3892324 4865405 7784648 9730810 12650053 15569296 19461620 25300106 38923240 50600212 63250265 77846480 101200424 126500530 202400848 253001060 506002120 1012004240