Search a number
-
+
1993708080 = 24355731323
BaseRepresentation
bin111011011010101…
…1001001000110000
312010221111212100000
41312311121020300
513040342124310
6525500030000
7100256145000
oct16665311060
95127455300
101993708080
1193343a431
12477832300
1325a083530
1414cadc000
15ba06d4c0
hex76d59230

1993708080 has 960 divisors, whose sum is σ = 9099417600. Its totient is φ = 402361344.

The previous prime is 1993708061. The next prime is 1993708091. The reversal of 1993708080 is 808073991.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86682949 + ... + 86682971.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 21993708080 is an apocalyptic number.

1993708080 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 1993708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

1993708080 is an abundant number, since it is smaller than the sum of its proper divisors (7105709520).

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

1993708080 is a wasteful number, since it uses less digits than its factorization.

1993708080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1993708080 is about 44650.9583323807. The cubic root of 1993708080 is about 1258.5984415574.

The spelling of 1993708080 in words is "one billion, nine hundred ninety-three million, seven hundred eight thousand, eighty".