Search a number
-
+
2940660000 = 25325417312
BaseRepresentation
bin1010111101000110…
…1110100100100000
321120221101000011100
42233101232210200
522010302110000
61203444314400
7132605124525
oct25721564440
97527330140
102940660000
111279a20423
126a09a2a00
1337b308b05
141dc79b14c
15123271a00
hexaf46e920

2940660000 has 540 divisors, whose sum is σ = 11432907486. Its totient is φ = 714240000.

The previous prime is 2940659999. The next prime is 2940660007. The reversal of 2940660000 is 660492.

It can be written as a sum of positive squares in 5 ways, for example, as 189447696 + 2751212304 = 13764^2 + 52452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940660007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 94859985 + ... + 94860015.

Almost surely, 22940660000 is an apocalyptic number.

2940660000 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 2940660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716453743).

2940660000 is an abundant number, since it is smaller than the sum of its proper divisors (8492247486).

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

2940660000 is a wasteful number, since it uses less digits than its factorization.

2940660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2940660000 is about 54227.8526220613. The cubic root of 2940660000 is about 1432.6769424077.

The spelling of 2940660000 in words is "two billion, nine hundred forty million, six hundred sixty thousand".