Search a number
-
+
1096829910 = 234511219231
BaseRepresentation
bin100000101100000…
…0100101111010110
32211102212201210000
41001120010233112
54221242024120
6300500512130
736115620561
oct10130045726
92742781700
101096829910
1151314a600
122673ab646
13146310aa7
14a59554d8
156645b990
hex41604bd6

1096829910 has 360 divisors, whose sum is σ = 3531705408. Its totient is φ = 243777600.

The previous prime is 1096829897. The next prime is 1096829927. The reversal of 1096829910 is 199286901.

It is a super-4 number, since 4×10968299104 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 35381595 + ... + 35381625.

Almost surely, 21096829910 is an apocalyptic number.

1096829910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096829910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765852704).

1096829910 is an abundant number, since it is smaller than the sum of its proper divisors (2434875498).

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

1096829910 is a wasteful number, since it uses less digits than its factorization.

1096829910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 1096829910 is about 33118.4225167806. The cubic root of 1096829910 is about 1031.2875186350.

The spelling of 1096829910 in words is "one billion, ninety-six million, eight hundred twenty-nine thousand, nine hundred ten".