Search a number
-
+
242697000 = 233537213127
BaseRepresentation
bin11100111011101…
…00001100101000
3121220200021200210
432131310030220
5444112301000
640025501120
76004614300
oct1635641450
9556607623
10242697000
11114aa5937
12693417a0
133b3865c0
1424338600
1516490350
hexe774328

242697000 has 384 divisors, whose sum is σ = 956067840. Its totient is φ = 50803200.

The previous prime is 242696983. The next prime is 242697071. The reversal of 242697000 is 796242.

It is a happy number.

242697000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1910937 + ... + 1911063.

It is an arithmetic number, because the mean of its divisors is an integer number (2489760).

Almost surely, 2242697000 is an apocalyptic number.

242697000 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 242697000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

242697000 is an abundant number, since it is smaller than the sum of its proper divisors (713370840).

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

242697000 is a wasteful number, since it uses less digits than its factorization.

242697000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 242697000 is about 15578.7355070943. The cubic root of 242697000 is about 623.7656705608.

The spelling of 242697000 in words is "two hundred forty-two million, six hundred ninety-seven thousand".