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254425060 = 2251731101239
BaseRepresentation
bin11110010101000…
…11011111100100
3122201202010120101
433022203133210
51010113100220
641125113444
76206402011
oct1712433744
9581663511
10254425060
1112068634a
1271258884
1340931896
1425b0c708
151750a30a
hexf2a37e4

254425060 has 96 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 91392000.

The previous prime is 254425027. The next prime is 254425081. The reversal of 254425060 is 60524452.

254425060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2544250602 = 129464222312007200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064421 + ... + 1064659.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2254425060 is an apocalyptic number.

254425060 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 254425060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

254425060 is an abundant number, since it is smaller than the sum of its proper divisors (337795100).

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

254425060 is a wasteful number, since it uses less digits than its factorization.

254425060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 254425060 is about 15950.7071943535. The cubic root of 254425060 is about 633.6556260521.

The spelling of 254425060 in words is "two hundred fifty-four million, four hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 101 124 155 170 202 239 310 340 404 478 505 527 620 956 1010 1054 1195 1717 2020 2108 2390 2635 3131 3434 4063 4780 5270 6262 6868 7409 8126 8585 10540 12524 14818 15655 16252 17170 20315 24139 29636 31310 34340 37045 40630 48278 53227 62620 74090 81260 96556 106454 120695 125953 148180 212908 241390 251906 266135 410363 482780 503812 532270 629765 748309 820726 1064540 1259530 1496618 1641452 2051815 2519060 2993236 3741545 4103630 7483090 8207260 12721253 14966180 25442506 50885012 63606265 127212530 254425060