Search a number
-
+
2997540 = 2233571361
BaseRepresentation
bin1011011011110100100100
312122021212000
423123310210
51231410130
6144125300
734323120
oct13336444
95567760
102997540
111768107
121006830
1380c4c0
14580580
153e3260
hex2dbd24

2997540 has 192 divisors, whose sum is σ = 11665920. Its totient is φ = 622080.

The previous prime is 2997529. The next prime is 2997557. The reversal of 2997540 is 457992.

2997540 is a `hidden beast` number, since 29 + 97 + 540 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2997495 and 2997504.

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, 49110 + ... + 49170.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

22997540 is an apocalyptic number.

2997540 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 2997540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832960).

2997540 is an abundant number, since it is smaller than the sum of its proper divisors (8668380).

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

2997540 is a wasteful number, since it uses less digits than its factorization.

2997540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2997540 is about 1731.3405210992. The cubic root of 2997540 is about 144.1855247624.

Adding to 2997540 its sum of digits (36), we get a triangular number (2997576 = T2448).

The spelling of 2997540 in words is "two million, nine hundred ninety-seven thousand, five hundred forty".