Search a number
-
+
1096675440 = 2435717194347
BaseRepresentation
bin100000101011101…
…1111000001110000
32211102120212212220
41001113133001300
54221222103230
6300453321040
736114405330
oct10127370160
92742525786
101096675440
11513054543
12267336180
131462886a3
14a59150c0
156642ad10
hex415df070

1096675440 has 640 divisors, whose sum is σ = 4525424640. Its totient is φ = 213663744.

The previous prime is 1096675429. The next prime is 1096675441. The reversal of 1096675440 is 445766901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1096675392 and 1096675401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1096675441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23333497 + ... + 23333543.

It is an arithmetic number, because the mean of its divisors is an integer number (7070976).

Almost surely, 21096675440 is an apocalyptic number.

1096675440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1096675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262712320).

1096675440 is an abundant number, since it is smaller than the sum of its proper divisors (3428749200).

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

1096675440 is a wasteful number, since it uses less digits than its factorization.

1096675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1096675440 is about 33116.0903489527. The cubic root of 1096675440 is about 1031.2391032090.

The spelling of 1096675440 in words is "one billion, ninety-six million, six hundred seventy-five thousand, four hundred forty".