Search a number
-
+
1012640120 = 235193131171
BaseRepresentation
bin111100010110111…
…010100101111000
32121120110110002122
4330112322211320
54033213440440
6244252220412
734044204362
oct7426724570
92546413078
101012640120
1147a677568
1224316a708
13131a4464b
14986bbd32
155dd7b7b5
hex3c5ba978

1012640120 has 32 divisors (see below), whose sum is σ = 2290263120. Its totient is φ = 402954240.

The previous prime is 1012640119. The next prime is 1012640137. The reversal of 1012640120 is 210462101.

It is a super-2 number, since 2×10126401202 = 2050880025267228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57866 + ... + 73305.

Almost surely, 21012640120 is an apocalyptic number.

1012640120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012640120 is an abundant number, since it is smaller than the sum of its proper divisors (1277623000).

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

1012640120 is a wasteful number, since it uses less digits than its factorization.

1012640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131375 (or 131371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1012640120 is about 31822.0068506058. The cubic root of 1012640120 is about 1004.1957444409.

The spelling of 1012640120 in words is "one billion, twelve million, six hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 193 386 772 965 1544 1930 3860 7720 131171 262342 524684 655855 1049368 1311710 2623420 5246840 25316003 50632006 101264012 126580015 202528024 253160030 506320060 1012640120