Search a number
-
+
2997741120 = 2635112131197
BaseRepresentation
bin1011001010101101…
…1110011001000000
321201220210000201220
42302223132121000
522114410203440
61213243555040
7134200244013
oct26253363100
97656700656
102997741120
1112a9168300
126b7b2ba80
1338a0a331a
142061b937a
151282998d0
hexb2ade640

2997741120 has 336 divisors, whose sum is σ = 10595116224. Its totient is φ = 717516800.

The previous prime is 2997741101. The next prime is 2997741139. The reversal of 2997741120 is 211477992.

It is an interprime number because it is at equal distance from previous prime (2997741101) and next prime (2997741139).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15216862 + ... + 15217058.

It is an arithmetic number, because the mean of its divisors is an integer number (31533084).

Almost surely, 22997741120 is an apocalyptic number.

2997741120 is a gapful number since it is divisible by the number (20) 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 2997741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297558112).

2997741120 is an abundant number, since it is smaller than the sum of its proper divisors (7597375104).

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

2997741120 is a wasteful number, since it uses less digits than its factorization.

2997741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 2997741120 is about 54751.6312085768. The cubic root of 2997741120 is about 1441.8874940037.

The spelling of 2997741120 in words is "two billion, nine hundred ninety-seven million, seven hundred forty-one thousand, one hundred twenty".