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254157030 = 232513121557
BaseRepresentation
bin11110010011000…
…10000011100110
3122201020111220100
433021202003212
51010031011110
641115244530
76204204411
oct1711420346
9581214810
10254157030
11120512a36
1271149746
134086989a
1425a7cb78
15174a5bc0
hexf2620e6

254157030 has 48 divisors (see below), whose sum is σ = 665883504. Its totient is φ = 67254720.

The previous prime is 254157023. The next prime is 254157031. The reversal of 254157030 is 30751452.

It is a happy number.

254157030 is a `hidden beast` number, since 25 + 41 + 570 + 30 = 666.

254157030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 254156985 and 254157003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254157031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012 + ... + 22568.

It is an arithmetic number, because the mean of its divisors is an integer number (13872573).

Almost surely, 2254157030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254157030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332941752).

254157030 is an abundant number, since it is smaller than the sum of its proper divisors (411726474).

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

254157030 is a wasteful number, since it uses less digits than its factorization.

254157030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21701 (or 21698 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 254157030 is about 15942.3031585778. The cubic root of 254157030 is about 633.4330347809.

The spelling of 254157030 in words is "two hundred fifty-four million, one hundred fifty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 11790 21557 43114 64671 107785 129342 194013 215570 323355 388026 646710 970065 1940130 2823967 5647934 8471901 14119835 16943802 25415703 28239670 42359505 50831406 84719010 127078515 254157030