[go: up one dir, main page]

Search a number
-
+
1021120040 = 235191343579
BaseRepresentation
bin111100110111010…
…000111000101000
32122011102021100202
4330313100320220
54042401320130
6245154051332
734206243233
oct7467207050
92564367322
101021120040
11484439666
12245b79b48
13133723355
149988841a
155e9a4145
hex3cdd0e28

1021120040 has 32 divisors (see below), whose sum is σ = 2418444000. Its totient is φ = 386950464.

The previous prime is 1021120039. The next prime is 1021120049. The reversal of 1021120040 is 400211201.

1021120040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10211200402 = 2085372272179203200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021120049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671030 + ... + 672549.

It is an arithmetic number, because the mean of its divisors is an integer number (75576375).

Almost surely, 21021120040 is an apocalyptic number.

1021120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021120040 is an abundant number, since it is smaller than the sum of its proper divisors (1397323960).

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

1021120040 is a wasteful number, since it uses less digits than its factorization.

1021120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343609 (or 1343605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1021120040 is about 31954.9689406828. The cubic root of 1021120040 is about 1006.9910250085.

Adding to 1021120040 its reverse (400211201), we get a palindrome (1421331241).

The spelling of 1021120040 in words is "one billion, twenty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1343579 2687158 5374316 6717895 10748632 13435790 25528001 26871580 51056002 53743160 102112004 127640005 204224008 255280010 510560020 1021120040