Search a number
-
+
1035957106 = 211321412
BaseRepresentation
bin111101101111110…
…111001101110010
32200012100001222201
4331233313031302
54110201111411
6250444053414
734446330052
oct7557671562
92605301881
101035957106
114918529a8
1224ab3426a
13136819792
149b82b562
1560e353c1
hex3dbf7372

1035957106 has 12 divisors (see below), whose sum is σ = 1568419866. Its totient is φ = 513154880.

The previous prime is 1035957103. The next prime is 1035957107. The reversal of 1035957106 is 6017595301.

It can be written as a sum of positive squares in 3 ways, for example, as 1012830625 + 23126481 = 31825^2 + 4809^2 .

It is a super-3 number, since 3×10359571063 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035957103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 482796 + ... + 484936.

Almost surely, 21035957106 is an apocalyptic number.

1035957106 is a deficient number, since it is larger than the sum of its proper divisors (532462760).

1035957106 is an frugal number, since it uses more digits than its factorization.

1035957106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 1035957106 is about 32186.2875460964. The cubic root of 1035957106 is about 1011.8448476387.

The spelling of 1035957106 in words is "one billion, thirty-five million, nine hundred fifty-seven thousand, one hundred six".

Divisors: 1 2 113 226 2141 4282 241933 483866 4583881 9167762 517978553 1035957106