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1173828096 = 29327151241
BaseRepresentation
bin100010111110111…
…0011001000000000
310000210202122102200
41011331303020000
54400444444341
6312251113200
741042242230
oct10575631000
93023678380
101173828096
11552660471
12289142800
1315925ca4c
14b1c79cc0
156d0badb6
hex45f73200

1173828096 has 240 divisors, whose sum is σ = 3913523328. Its totient is φ = 331776000.

The previous prime is 1173828091. The next prime is 1173828143. The reversal of 1173828096 is 6908283711.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1173828091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4870536 + ... + 4870776.

Almost surely, 21173828096 is an apocalyptic number.

1173828096 is a gapful number since it is divisible by the number (16) 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 1173828096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956761664).

1173828096 is an abundant number, since it is smaller than the sum of its proper divisors (2739695232).

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

1173828096 is a wasteful number, since it uses less digits than its factorization.

1173828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1173828096 is about 34261.1747609448. The cubic root of 1173828096 is about 1054.8762149713.

The spelling of 1173828096 in words is "one billion, one hundred seventy-three million, eight hundred twenty-eight thousand, ninety-six".