Search a number
-
+
295895040 = 21635743
BaseRepresentation
bin10001101000110…
…000000000000000
3202121210000200120
4101220300000000
51101222120130
645210020240
710222031520
oct2150600000
9677700616
10295895040
11142030361
1283117680
13493c152c
142b425680
151ae9c910
hex11a30000

295895040 has 272 divisors, whose sum is σ = 1107287808. Its totient is φ = 66060288.

The previous prime is 295895027. The next prime is 295895057. The reversal of 295895040 is 40598592.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 295894983 and 295895001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881259 + ... + 6881301.

Almost surely, 2295895040 is an apocalyptic number.

295895040 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 295895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553643904).

295895040 is an abundant number, since it is smaller than the sum of its proper divisors (811392768).

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

295895040 is an frugal number, since it uses more digits than its factorization.

295895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 295895040 is about 17201.5999255883. The cubic root of 295895040 is about 666.3655884928.

The spelling of 295895040 in words is "two hundred ninety-five million, eight hundred ninety-five thousand, forty".