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1073479680 = 218325713
BaseRepresentation
bin111111111111000…
…000000000000000
32202210221102021200
4333333000000000
54144302322210
6254304221200
735413266240
oct7777000000
92683842250
101073479680
11500a51199
1225b60a800
131415267a0
14a27d7b20
15643980c0
hex3ffc0000

1073479680 has 456 divisors, whose sum is σ = 4580171232. Its totient is φ = 226492416.

The previous prime is 1073479679. The next prime is 1073479681. The reversal of 1073479680 is 869743701.

It is an interprime number because it is at equal distance from previous prime (1073479679) and next prime (1073479681).

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

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073479681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82575354 + ... + 82575366.

Almost surely, 21073479680 is an apocalyptic number.

1073479680 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 1073479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290085616).

1073479680 is an abundant number, since it is smaller than the sum of its proper divisors (3506691552).

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

1073479680 is an frugal number, since it uses more digits than its factorization.

1073479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1073479680 is about 32763.9997558296. Note that the first 3 decimals coincide. The cubic root of 1073479680 is about 1023.9166598841.

The spelling of 1073479680 in words is "one billion, seventy-three million, four hundred seventy-nine thousand, six hundred eighty".