Search a number
-
+
2990979200 = 275211312741
BaseRepresentation
bin1011001001000110…
…1011100010000000
321201110001111010102
42302101223202000
522111142313300
61212443021532
7134055621656
oct26221534200
97643044112
102990979200
1112a5369a40
126b580a8a8
133888765a1
14205338dd6
151278b10d5
hexb246b880

2990979200 has 192 divisors, whose sum is σ = 8323395840. Its totient is φ = 1052160000.

The previous prime is 2990979197. The next prime is 2990979223. The reversal of 2990979200 is 29790992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089830 + ... + 1092570.

It is an arithmetic number, because the mean of its divisors is an integer number (43351020).

Almost surely, 22990979200 is an apocalyptic number.

2990979200 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 2990979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161697920).

2990979200 is an abundant number, since it is smaller than the sum of its proper divisors (5332416640).

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

2990979200 is a wasteful number, since it uses less digits than its factorization.

2990979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 47.

The square root of 2990979200 is about 54689.8454925592. The cubic root of 2990979200 is about 1440.8025361891.

The spelling of 2990979200 in words is "two billion, nine hundred ninety million, nine hundred seventy-nine thousand, two hundred".