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8073930480 = 2435711894909
BaseRepresentation
bin1111000010011111…
…00110011011110000
3202211200112011110020
413201033212123300
5113013411233410
63413100203440
7404036163630
oct74117463360
922750464406
108073930480
113473583520
121693b39580
139b8959975
145684306c0
15323c50a70
hex1e13e66f0

8073930480 has 320 divisors, whose sum is σ = 31562265600. Its totient is φ = 1658511360.

The previous prime is 8073930457. The next prime is 8073930517. The reversal of 8073930480 is 840393708.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1642266 + ... + 1647174.

It is an arithmetic number, because the mean of its divisors is an integer number (98632080).

Almost surely, 28073930480 is an apocalyptic number.

8073930480 is a gapful number since it is divisible by the number (80) 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 8073930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781132800).

8073930480 is an abundant number, since it is smaller than the sum of its proper divisors (23488335120).

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

8073930480 is a wasteful number, since it uses less digits than its factorization.

8073930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 8073930480 is about 89855.0526125270. The cubic root of 8073930480 is about 2006.1419919921.

The spelling of 8073930480 in words is "eight billion, seventy-three million, nine hundred thirty thousand, four hundred eighty".